# Heights & Distances Questions and Answers

Geometry

Heights & DistancesA jewelry salesman earns a commission of 25 of all jewelry sales made Yesterday he sold 5 bracelets for 60 each and 4 rings for 40 each How much did he earn in commission yesterday OA 40 OB 120 O C 64 OD 115

Geometry

Heights & DistancesMelvin has a balance of 5140 on a credit card with an APR of 17 6 Paying off his balance in which of these lengths of time will result in him paying the least amount of interest A 8 months OB 10 months C 6 months D 12 months

Geometry

Heights & DistancesWhat is the name of indicator of stock market prices that is the average of 30 selected industrial stocks OA S P 500 B SEC C Dow Jones

Geometry

Heights & DistancesAt the beginning of the day stock XYZ opened at 6 12 At the end of the day it closed at 6 88 What is the rate of change of stock XYZ A 12 4 B 6 8 C 6 1 D 1 2

Geometry

Heights & DistancesSolve each of the following problems In each case be sure to make a diagram of the situation with all the given information labeled 1 Isosceles Triangle The two equal sides of an isosceles triangle are each 42 centimeters If the base measures 30 centimeters find the height and the measure of the two equal angles Round your answer to the nearest tenth 2 Equilateral Triangle An equilateral triangle one with all sides the same length has an altitude of 4 3 inches Find the length of the sides 3 Length of an Escalator How long should an escalator be if it is to make an angle of 33 with the floor and carry people a vertical distance of 21 feet between floors Round to the nearest tenth 4 Height of a Hill A road up a hill makes an angle of 5 with the horizontal If the road from the bottom of the hill to the top of the hill is 2 5 miles long how high is the hill 5 Circus Tent A rope from the top of a circus tent pole is 72 5 feet long and is anchored to the ground 43 2 feet from the bottom of the pole What angle does the rope make with the pole Give your answer to the nearest tenth of a degree 6 Leaning Ladder A ladder is leaning against the top of a wall that is 7 0 feet high If the bottom of the ladder is 4 5 feet from the wall what is the angle between the ladder and the wall Give your answer to the nearest tenth of a degree 7 Angle of Elevation If a flagpole that is 73 feet tall casts a shadow 51 feet long what is the angle of elevation of the sun Give your answer to the nearest

Geometry

Heights & DistancesWhich describes a person designated to receive money from a life insurance policy or retirement plan if the owner of the policy dies O A Shareholder B Broker C Beneficiary

Geometry

Heights & DistancesWhich of these expressions will give the unpaid balance after 5 years on ar 80 000 loan with an APR of 4 8 compounded monthly if the monthly payment is 519 17 OA 80 000 1 0 048 60 519 17 O B 80 000 1 0 048 519 17 1 0 00 000 4000115 19 171 1 OC 80 000 1 0 004 60 519 17 0510 1 1 0 048 60 0 048 1 1 0 048 0 048 1 1 0 004 80 0 004 1 1 0 004

Geometry

Heights & DistancesWhich describes a financial product offered by insurance companies that in return for an investment provides fixed payments each month for a certain amount of time OA Period annuity B Lifetime annuity OC Stock investment

Geometry

Heights & DistancesWhat is the name of the relationship when the function used to fit the data is a line O A Correlation OB Linear regression C Exponential regression

Geometry

Heights & Distances15 The shadow of a tree is 24 feet At the same time the shadow if a 6 foot tall person is 4 5 feet How tall is the tree

Geometry

Heights & DistancesWhich of the following has faces that are pentagons O A Hexahedron OB Dodecahedron O C Icosahedron O D Octahedron

Geometry

Heights & DistancesUse the figure to find the length of the indicated segment 7 AG 8 FC 9 ED 10 AE G F A 4 B E 6 C 5 D

Geometry

Heights & DistancesDoc1 Applied Computing Student Doc2 Palestine Technical University student Select one A The Query is more smilar to Doc1 B The Query is more smilar to Doc2 C no relation between the Query and Doci Doc2 n None of the mentioned

Geometry

Heights & DistancesdocID Words in document Training set 1 Test set 2 3 4 5 Jerusalem Ramallah Jerusalem Jerusalem Jerusalem Nablus Jerusalem Jenin Irbid Amman Jerusalem Jerusalem Jerusalem Jerusalem Irbid Amman a Fill the following 12 marks 1 Data set Size 2 Number of the documents that classified yes 3 Number of the documents that classified no 4 Number of the unique terms 5 Terms frequency in yes category 5 Terms frequency in no category In c Palestine yes yes yes no

Geometry

Heights & DistancesThe owner of the store of Auckland New Zealand Company must decide among building a mega centre store building 5 new stores or leasing 10 of their locations to another company The profit that will result from each alternative will be determined by whether material costs remain stable increase moderately or increase significantly In the payoff table below the estimated profits losses are given in thousands Stable 1820 Material Costs Mega Centre ecision New Stores Leasing termine the best decision using the Maximax decision criterion 2100 850 Moderate Increase 1020 500 950 O Decision New Stores based on 2500 max 1820 2500 1050 O Decision Stable based on 2100 max 2100 1020 1050 O Decision New Stores based on 2100 max 1820 2100 1050 O Decision Leasing based on 2850 max 2660 100 2850 Significant Increase 180 2500 1050

Geometry

Heights & DistancesQ1 Calculate the Levenshtein distance between the words GAZA and JAZAA To do so fill in the appropriate blanks in the table given below 5 marks J A Z A 0 GAZA

Geometry

Heights & Distances6 AABC has vertices A 12 20 B 8 16 and C 4 0 What are the vertices of the image after a dilation 7 with a scale factor of using the origin as the center of dilation 4

Geometry

Heights & Distances25 At 2 P M the shadow of a lighthouse is 19 feet long and the angle of elevation is 75 degrees Find the height of the lighthouse Draw a diagram to illustrate the problem Label the lighthouse shadow and angle of elevation

Geometry

Heights & DistancesH Identify the similarity ratio between Quads QRST and Quad PJKO Side lengths from Quad QRST Corresponding Side lengths from Quad PJKO Simplified Ratio of Corresponding Side Lengths RS ST TQ QR JK RS JK ST TQ QR II The similarity ratio of Quad QRST to Quad PJKO is

Geometry

Heights & DistancesAccording to the following table which of these factors affects your cred score the least Factor Payment history Amount owed Length of credit history New credit Types of credit Percent affects score Max of points awarded 35 297 5 30 255 15 127 5 A Payment history 10 10 85 85

Geometry

Heights & DistancesA credit card issuer charges an APR of 19 66 and its billing cycle is 30 days long What is its periodic interest rate O A 21 72 OB 21 53 O C 1 22 OD 1 62

Geometry

Heights & DistancesRoscoe s credit card has an APR of 13 59 and it just changed its compounding period from daily to monthly What will happen to the effective interest rate charged to Roscoe OA It will decrease by about 0 8 OB It will increase by about 0 8 OC It will decrease by about 0 08 OD It will increase by about 0 08

Geometry

Heights & DistancesEudora transferred a balance of 6400 to a new credit card at the of the year The card offered an introductory APR of 7 8 for the first 3 months and a standard APR of 26 5 thereafter If the card compounds interest monthly what will Eudora s balance be at the end of the year Assume that Eudora will make no payments or new purchases during the year and ignore any possible late payment fees O A 6525 61 OB 7790 35 C 8317 94 D 7943 25

Geometry

Heights & DistancesSuppose you buy a CD for 300 that earns 3 APR and is compounded quarterly The CD matures in 5 years Assume that if funds are withdrawn before the CD matures the early redemption fee is 3 months interest What is the early redemption fee on this account A 3 75 OB 2 25 OC 6 00 D 1 50

Geometry

Heights & DistancesThe opening balance of the May billing cycle for Marco s credit card was 3659 If he makes a new purchase of 100 on the 20th of May and doesn t make any payments what is his average daily balance A 3 694 48 O B 3 759 65 O C 3 709 00 D 4 125 36

Geometry

Heights & DistancesA 14 foot ladder makes a 62 angle with the ground To the nearest foot how far up the house does the ladder reach

Geometry

Heights & DistancesA boy flying a kite lets out 300 feet of string which makes an angle of 38 with the ground Assuming that the string is straight how high above the ground is the kite

Geometry

Heights & DistancesA A 12 foot slide is attached to a swing set The slide makes a 65 angle with the swing set What is the height of the top of the slide

Geometry

Heights & DistancesBrian has a 500 bond with a 6 5 coupon The yield of the bond is 6 8 What is the bid price for the bond OA 478 00 OB 468 00 OC 490 00 D 482 00

Geometry

Heights & DistancesFind the values of the variables Round answer to nearest tenth 7 8 9 Xx 3 12 9 X 6 8

Geometry

Heights & DistancesO a If the angle between them is 90 b If the angle between them is 0 c If the angle between them is 45 d If the vectors have the same magnitude If a 2 6 6 and b 3 2 7 find a b Your Answer Answer Which statement best describes the result of the cross product a It gives the magnitude of the projection of one vector onto another b It defines a vector perpendicular to both given vectors c The cross product gives a vector parallel to both given vectors O d It is the division of one vector by another If A 3 2 9 and B 4 7 2 are two points in 3 space then find the vector AB a b AB 7 5 71 d AB 1 9 11 1 AB 1 12 14 18 AB 17 5 71 The dot product represents a The magnitude of the projection of one vector onto another b A vector perpendicular to both given vectors c A vector parallel to both given vectors d The division of one vector by another Ifp 7 2 5 1 q a P q 112 3 b P q 12 1 find find p q

Geometry

Heights & DistancesCarson wants to use a sheet of fiberboard 29 inches long to create a skateboard ramp with a 19 angle of elevation from the ground How high will the ramp rise from the ground at its highest end Round your answer to the nearest tenth of an inch if necessary

Geometry

Heights & DistancesEXPLAIN 1 Proving Opposite Sides Are Congruent Read the section below and complete the following activity adapted from Lesson 9 1 A segment that connects two nonconsecutive vertices of a polygon is a diagonal 6 Theorem 1 If a quadrilateral is a parallelogram then its opposite sides are congruent Example reason box at the bottom of page Prove that the opposite sides of a parallelogram are congruent Answers given in statement Given ABCD is a parallelogram Prove AB CD and AD CB The figure WXYZ is a parallelogram WZ XY and WX ZY Statements 3 AB DC AD BC 4 ZADB ZCBD LABD LCDB 5 DB DB 1 ABCD is a parallelogram 2 Draw DB 7 AB CD and AD CB Statement Reason Bank 3 1 2 Through any two points there is exactly one line 4 D 5 Reasons 6 ASA Triangle Congruence Theorem 7 4 Alternate Interior 1 Given Angles Theorem 5 Reflexive Property of Congruence 7 CPCTC This number tells you the correct row number in the proof for each statement or reason provided below 3 Definition of parallelogram 6 A ABDA CDB 0

Geometry

Heights & DistancesLeon lives in North Dakota which has a sales tax of 5 He jus home theater system whose full price was 450 but after sending in a rebate form he later received a check in the mail for 75 What was the total amount that Leon ended up paying after receiving the rebate OA 393 75 OB 397 50 O C 472 50 D 375 00

Geometry

Heights & DistancesBao is trying to find the height of a radio antenna on the roof of a local building She stands at a horizontal distance of 27 meters from the building The angle of elevation from her eyes to the roof point A is 34 and the angle of elevation from her eyes to the top of the antenna point B is 37 If her eyes are 1 7 meters from the ground find the height of the antenna the distance from point A to point B Round your answer to the nearest tenth of a meter if necessary

Geometry

Heights & DistancesMorgan lives in Arkansas which has a sales tax of 6 She just bought some antivirus software whose full price was 60 but she presented the retailer with a coupon for 10 which the retailer accepted What was the total amount that Morgan paid OA 53 60 OB 50 00 C 63 60 D 53 00

Geometry

Heights & DistancesA pyramid and a cone are both 10 centimeters tall and have the same volume What statement must be true about the two solids A4 A The horizontal cross sections of the pyramid and cone at the same height must have the same area B The area of the cross sections of the pyramid and cone are multiples of each other The proc coctions of the pyramid and cone are the same shape G

Geometry

Heights & DistancesVirgil heard that as a general rule he should spend no more than 30 of his take home pay on rent If Virgil s take home pay is 51 600 per year what is the maximum amount per month that he should spend on rent O A 4300 OB 1548 OC 3010 OD 1290

Geometry

Heights & DistancesFernando bought 30 shares of Stock XYZ at the close price of 14 21 He bought 30 more shares a year later at the price of 15 89 If his broker charges 14 for each transaction how much money did Fernando spend in total to make these purchases OA 490 70 OB 440 30 C 931 00 D 903 00

Geometry

Heights & Distances3 Calculating a Heading A woman launches a boat from one shore of a straight river and wants to at the point directly on the opposite shore If the speed of the boat relative to the water is 10 mi h and the river is flowing east at the rate of 5 mi h in what direction should she steer the boat to arrive at the desired landing point See Example 5 from the 5 3a lesson notes Answer 8 120 Direction N 30 W Heading 330 W 0 AN

Geometry

Heights & Distancesoutstretched arm Starting from rest he begins to turn with a constant angular acceleration releasing the discu after making one complete revolution The diameter of he circle in which the discus moves is about d meters he thrower takes a time t seconds to complete one evolution starting from rest what will be the speed of he discus at release T Upload files Supported file formats PDF JPG GIF PNG CSV RTF TXT XPS ZIP Word Excel

Geometry

Heights & DistancesThe figure below shows the angular position of a potter s wheel a What is the angular displacement of the wheel between t 5s and t 15s b What is the angular velocity of the wheel at t 15s c What is the maximum speed of a point on the outside of the wheel 15 cm from the axle 0 rad 75 50 25 0 0 5 10 15 20 t s

Geometry

Heights & Distances0 The percentage grade of a road measures the change in the altitude of a road in comparison with the horizontal distance covered by the road For example a 5 grade means that the road rises 5 feet for every 100 feet of horizontal distance Ms Palmer is about to turn onto a mountain road and sees this sign What angle does the road make with the ground 9 8

Geometry

Heights & Distances7 Quadrilateral MATH has vertices M 6 4 A 4 2 T 0 1 H 1 8 What are the vertices of the image after a dilation with a scale factor of using the origin as the center of dilation

Geometry

Heights & DistancesWater flowing through both a small pipe and a large pipe can fill a water tank in 9 hours Water flowing through the large pipe alone can fill the tank in 17 hours Write an equation that can be used to find the amount of time t in hours it would take to fill the tank using only the small pipe Round to the neares whole hour

Geometry

Heights & Distances9 True or False Give a reason for your answer 4 then the side adjacent to must be 4 and the hypotenuse must be 5 5 a If cos 0 b If tan 0 1 5 then the side adjacent to is 13 the length of the side opposite 0

Geometry

Heights & DistancesTools Find the correct equation to solve for m m 53 A B C D 24 124 cos 53 tan 53 tan 53 cos 53 24 m m 24 24 m 2024 Illuminate Education TM Inc