Heights & Distances Questions and Answers
Geometry
Heights & DistancesCalculator What is value of x Enter your answer in the box X 4 B 8 X 4 2x 1
Geometry
Heights & DistancesYOU DO ROUND 1 Use circle A above where AC 1 inch and m BAD 70 to answer questions x 1 and 2 1 What is the arc length of BC a 1 9 in b 1 2 in 1 0 in d 0 6 in C 1889 D a 1 9 in b 1 2 in c 1 0 in d 0 6 in B 4sh 2 What is the area of sector BAC A
Geometry
Heights & DistancesIdentify the center and the radius then sketch a graph of the circle Center 3 2 2 190 7 x 3 y 2 4 Radius 4 24
Geometry
Heights & Distanceslogs Expand each logarithm 1 log 7 2 2log 5 5 log 34 2 85 99 3 log 6 5 11 3 10 7 6 logs 2 2 log 5 11 4 log 3 ab 6 log x y z 8 log 4 10 Jog 106 2
Geometry
Heights & Distances11 4 points Mr Longo and Ms Johnson are celebrating the end of the year by getting ice cream Mr Long ordered 1 scoop of ice cream with a radius of 5 cm and Ms Johnson ordered 2 scoops both with a diame of 6 cm Given that each of their ice cream cones have a volume of 121 cm who has the most ice cream Explain your reasoning
Geometry
Heights & DistancesWhat type of triangle is shown in Clue 15 Classify the triangle by its best name only entering scalene isosceles equilateral or right triangle in the text box starting with a capital letter 8x 1 3x 4
Geometry
Heights & Distanceshe Height of a Parallelogram What is the perpendicular distance between the line segments AB and CD if the area of parallelogram ABCD is 165 square units 10 b AB 225 VB 0 10 10 6 Q 10 F A 165 AB a D 3 4 C 138 AB 0 9 10 2 9 123 165 15 a units 10
Geometry
Heights & Distances4 If the figure above is rotated continously about g which of the following 3D figures is formed a Cylinder with a diameter of 6 and a height of 2 b Cylinder with a diameter of 4 and a height of 3 c Cylinder with a diameter of 2 and a height of 3 uns biot d Cylinder with a radius of 3 and a height of 2 AU W 2005 baquila F g dw qua tiba
Geometry
Heights & DistancesInstallment Loan Principal Term Length Interest Rate Monthly Payment How much of the first 1500 00 payment for the 4 years installment loan 6 shown in the table will 35 00 go towards principal A 32 90 B 27 50 C 2 10 D 7 50
Geometry
Heights & Distances35 5 54 5 OA 7 meters 4 meters OC 3 meters 1 meters The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35 5 with respect to the ground If t ladder is moved by x meters toward the wall it makes an angle of 54 5 with the ground and its top is 14 meters above the ground What is xrounded to the nearest meter B 4m D 10 m
Geometry
Heights & DistancesA plane takes off at an angle of elevation of 15 and travels in a straight line for 3 000 meters What is the height of the plane above the ground at this instant OA 2898 m OB 2701 m OC 804 m D 776 m
Geometry
Heights & DistancesType the correct answer in each box Round your answers to the nearest tenth A ladder is placed 30 inches from a wall It touches the wall at a height of 50 inches from the ground The angle made by the ladder with the ground is degrees and the length of the ladder is inch
Geometry
Heights & DistancesWhich of the following best describes the dilation i O i iii only O ii iii only O i ii only O ii iv only ii
Geometry
Heights & DistancesGradeResulls Question 9 O 1 How many lines of symmetry are there in the figure given below O2 Points 1 O 3 0 My Activities Tell me what you
Geometry
Heights & DistancesIn a laboratory experiment an ultrasound detector located at 8 is used to measure the distances of two moving objects A and C At a certain moment A and C are located as shown in the diagram AB 15 ft BC 14 ft and m ABC 50 What is distance AC B Select one O a length of AC 18 6 ft Ob length of AC 14 5 ft O length of AC 12 3 ft Od length of AC 19 7 ft A 15 ft 28 14 ft C
Geometry
Heights & Distances19 1 point 100 LAND 300 270 10 kr X r r RIVER Find the distance x across the river 30 270 300 27 r
Geometry
Heights & Distances1 point Paige knows that a certain shape is a rectangle She has found the slope of one side to be 2 3 What is the slope of the opposite side What are the slopes of the other two sides opposite side 2 3 other sides 3 2 opposite side 2 3 other sides 3 opposite side 2 3 other sides 2 3 opposite side 3 2 other sides 2 3
Geometry
Heights & Distances1 A diver jumps from a cliff into the water below The path of the diver is given by the function f x t 4t 12 where f is the height of the diver above water level in metres after t seconds Hassan calculated the following average rates of change in the height of the diver over the following intervals 1 1 1 st 2 AROC 1m s ii 2 st 3 AROC 1m s iii 3 st 4 AROC 3m s Based on these values which of the following statements is FALSE about this situation a The AROC from 3 to 4 seconds is a smaller negative value therefore it implies that the diver is slowing down as it gets closer to the ground b The AROC from 1 to 2 sec is that same as the AROCI for 2 to 3 sec and since the first AROC is positive and the second is negative it implies that a maximum height was reached in the middle at 2 seconds c The diver was at first increasing in height and then decreasing to the AROCS changing from positive values to negative values
Geometry
Heights & Distances4 What inverse trig function can be used to find the measure of angle A tan 1 Cos 1 12 none sin 1
Geometry
Heights & Distancesd If 8 2 1 rad then what are your xy coordinates after 2 hours and 6 seconds Round your answers to three decimal places x y Draw an accurate picture of the situation end start end start end start
Geometry
Heights & DistancesLPQR is adjacent to LRQS LPQS is 110 and ZRQS is 34 Find the measure of LPQR
Geometry
Heights & DistancesCool Down Lift Off Shortly after takeoff an airplane is climbing 250 feet for every 1 000 feet it travels Estimate the airplane s climb angle while this is happening I B 1000 C 250 A
Geometry
Heights & Distances15 OP is tangent to OT and OS if AB 14 OT 6 and PS 8 Find OP 6 T A B 14 8 S
Geometry
Heights & DistancesCampground Map paths tents 1 cm H bathhouse 5 mi What is the actual distance between the two points at the campground O 25 miles O 50 miles O 100 miles O 150 miles 250 miles Scale
Geometry
Heights & DistancesThe diagram below shows the intersections of several roads Each of the roads is straight The roads First Avenue Ave Second Ave and Third Ave are parallel 300 1236 06 3 Fint 406 m Marisa drives from point A to point B along Broad St and then from point B to point C along Third Ave What distance to the nearest meter did she drive
Geometry
Heights & DistancesA 15 foot conveyor belt for raising and lowering supplies is leaning against a building at a 30 angle with the ground as shown Select one 15 feet Which trigonometric equation could be used to find x the distance in feet from the base of the conveyor belt to the building O 30 x 15 sin 30 x 15 cos 30 Xx sin 30 15 15 Cos 30
Geometry
Heights & DistancesRound your answer to the nearest hundredth What is the height in feet of the tree The height is feet 42 31 20 ft
Geometry
Heights & Distances8 A building with 12 f1 Cover ramp The i ramp horizontal distance being makes installed an the ground Find the that the at a angle of 110 height and camp will
Geometry
Heights & DistancesConsider the right triangle shown below that has an interior angle measure of radians ii What is the value of cos 0 Preview COF A mode 0 00 a Use the slider in the applet above to show a circle centered at the left most vertex of the triangle b Consider the terminal point P i What is the measure of the terminal point s vertical distance above the center of the circle in units of the radius of the circle Preview ii What is the value of sin 0 sin 0 c Consider the terminal point P i What is the measure of the terminal point s horizontal distance to the right of the center of the circle in units of the radius of the circle 2 4 cm Preview 8 2 06 cm Drettien 1 23 cm
Geometry
Heights & DistancesQuestion 5 Find the missing angles and sides of the following two congruent triangles B 13 60 A Points 2 13 C Q P R O All angles 60 and All sides 13 units Angle B Angle C Angle P Angle R 45 Angle Q 60 side AC PR 16 side PQ PR 13 Angle B Angle C Angle P Angle R 65 Angle Q 60 side AC PR 16 side PQ PR 13 Angle B Angle C Angle P Angle R 60 Angle Q 60 side AC PR 16 side PQ PR 13 Rese Rese afte asse Q
Geometry
Heights & DistancesQuestion 10 Points 1 If the point A 10 4 is reflected above the line y x Identify the transformed point O A 4 10 O A 4 10 O A 10 4 O A 10 4
Geometry
Heights & DistancesFind the surface area of the square pyramid 8 m OA 192 m2 OB 448 m OC 256 m OD 384 m2
Geometry
Heights & DistancesDraw a plane intersecting a cube to get the cross section indicated rectangle OA OB C OD
Geometry
Heights & DistancesUse a formula to find the surface area of the figure 11 in drawing not to scale A 287 in 2 QB 30 in C 574 in OD 858 in 13 in 6 in
Geometry
Heights & Distances3 Solve for x rounded to one decimal place 2 marks cos 59 36 Copyright 2019 The Ontario Educational Communications Authority All rights reserved
Geometry
Heights & Distances1 Convert each measure 4 marks a 8 ft 6 in to the nearest centimeter b 300 g to the nearest ounce
Geometry
Heights & DistancesFind the value of the variables Lines that appear to be tangent are tangent b a 224 Input answer as a b