High School Geometry Questions

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Given the circle below with secants LMN and PON If MN 7 ON 8 and LM in 3 more than PO find the length of LM Round to the nearest tenth if necessary

7 8 in 8 Find w and x 13 m 48 W 6 m

8 in 1 8 Find w and x 13 m 48 W to 6 m

5 22 cm 36 A 6 15 m x 18 m

Use the appropriate trigonometric function to find the value of x in each triangle round sides to the nearest tenth and angles to the nearest degree Don t forget units 3 4 11 A X 40 43 in 55 in

In 10 11 Use the appropriate trigonometric function to find the value of x in each triangle round sides to the nearest tenth and angles to the nearest degree Don t forget units 10 A kayaker makes a 16 angle of elevation to the top of a lighthouse The kayaker is 110 meters from the base of the lighthouse find the line of sight distance from the kayaker to the top of the lighthouse Kayaks 16 X Top of lighthouse Entrance to bay

In 2 Answers should be in simplest radical form 2 Find the sine cosine and tangent for ZM 24 L 6 8 10 M Tan A A Tan

11 A forest ranger in a tower sights a fire 180 meters away If the ranger is 50 meters above the ground find the angle of depression to the fire 50 m 180 m

Describe each angle as an angle of elevation or angle of elevation or depression 9 21 23 22 24

METRY Unit 8 Test 1 Complete using hypotenuse opposite and adjacent Sin A Cos A A Sin A Cos

Given circle with diameter CD and radius EA AB is tangent to E at A If AD 6 and EC 7 solve for AC Round your answer to the nearest tenth if necessary If the answer cannot be determined click Cannot be determined E B A E

2 21 52

13 Match the correct answer Given WXYZ is a parallelogram XZL WY Prove WXYZ is a rhombus Statements 1 WXYZ is a parallelogram 2 XZLWY 3 2WPX and 4 LWPX and Reasons 1 Given 2 Given XPY are 90 s 3 Def of lines XPY are rt Zb 4 e 5 AWPX and AYPX are rt As 5 Def of rt As XP XP 0 e 7 XZ bisects WY 7 Diags of a bisect each other 8 Def of bisector WP PY 9 9 LL 10 WXXY 10 CPCTC 11 11 with one pair of consecutive sides thom AWPXAYPX b AWPX AYPZ c Reflexove Property of d Transitive Property of

In 12 14 Use the appropriate trigonometric function to find the missing value round sides to the near tenth and angles to the nearest degree Don t forget units 12 Bobby hides behind a rock 42 3 meters from the south end of a pond His opponent s flag is flying at the north end of the pond How far does he have to run from the rock to point A to capture his opponent s flag 30 42 3 m

8 24 cm 13 cm 9 10 m

9 10 m X 56 10 Find w and x 4 32 10 ft 8 ft

In 15 16 Draw a picture then solve using the appropriate trigonometric function Round sides to the nearest tenth and angles to the nearest degree Don t forget units 15 Linda is flying a kite She has let out 45 yds of string and anchors it to the ground She determines that the angle of elevation of the kite is 58 What is the height of the kite from the ground

A boy stands 6 meters away from a building His line of sight forms a 78 angle of elevation to the top of Iding Find the total height of the building if his eyes are 1 2 m from the ground 11

16 A 20 ft tree casts a shadow that is 12 ft long Find the angle of elevation of the sun at that time

17 Find the area of the triangle Round to nearest tenths 110 B Area H 72 ab

13 An airplane starts its descent towards an airport when its horizontal distance is 52 800 ft from the runwa and the line of sight distance is 54 500 ft Find the airplane s angle of descent depression 52800 ft 54500 ft

9 in 6 in X 5 41 11 ft

In 2 3 Answers should be in simplest radical form 2 Find the sine cosine and tangent for ZB 24 26 10 B 3 Find the sine cosine and tangent for ZC 20 B 18

ab sin C 18 the missing the area of the triangle Round area to nearest tenths 10 in 15 in 43 V 59 A ZC B Area

6 64 m 31 m X 7 7 yd x 25

Complete using hypotenuse opposite and adjacent Sin A Cos A Tan A A Sin A Cos

1 In the diagram above of AJKL JL 7 KL 2 Determine the following ratios Write your answers in simplest radical form sin L ran cos L sin K

38 A Sin H X 14

2 16 16 54

Given m AOB 42 m EOF 66 Prove m COD 72 B E menu Complete the proof It is given that m AOB 42 and m EOF 66 By the m BOC 8 m AOC 108 and by the 66 By the m AOC m COD 180 After application of the B ZEOF ZBOC T Bm COD 72

Type the correct answer in the box 6 feet 4 feet A flight of stairs is supported by two columns as shown in the diagram The distance from the base of the stairs to the taller column is 12 feet feet

In circle W m VWU 107 Solve for a if mVU W 3x 39 If necessary round your answer to the nearest tent

Teacher 1 Use trigonometric ratios to find the value of each variable Round decimals to the nearest tenth SHOW WORK c a 10 26 A 10 Tan 35 X 10 7 12 2 y X 7 0 Y Cos 35 10 Y YC05 35 10 5 N x 35 y Cos 350 8 b 200 Find the value of angle x Round to the nearest degree SHOW WORK a b 3 0 5 8

10 Consider the following a How many solutions are there for the equation sin0 2 b How many solutions are there for the equation sin 1 0 c Explain the relationship between parts a and b

4 Let f x arcsinx g x arccos x and h x arctan r Which of these functions is graphed here Explain how you know 3TT 24 TT TT 2 0 TT 2 X

Compute the Probability of Getting Exactly 5 Heads A coin is flipped 10 times and the result is recorded Compute the probability of getting exactly 5 heads Complete the following to find the probability of getting exactly 5 heads Question 12 What is the probability of getting exactly 5 heads P A N A N S A B C D 0 492 0 082 0 246 0 194

Question 8 A spherical shaped ball that has a radius of 4 inches is currently deflated How much air would it take to completely inflate the ball 512 in A C D 64 in 2048 in T 3 256 3

4 inches Find the volume of one paper cone if the diameter is 4 inches and the height is 7 inches Rour your answer to the nearest cubic incl 29 in 59 in 88 in 117 in A B C 7 inches D

The cylinder has a diameter of 12 cm The entire composite figure has a height of 23 cm 12 cm 23 cm B 23 cm What is the volume of this composite figure A 756 cm C 12 cm 8287 cm 900 cm

Calculate the volume of a square based pyramid with an altitude height of 6 ft and base edges of 8 ft 6 ft 8 ft A B C D 8 ft 64 ft 128 ft 192 ft 384 ft

Question 3 What is the volume of the right cylinder pictured below 10 mm A B D 697mm 80mm 150mm 600mm 6 mm

Triangle QRS has a perimeter of 55 If RT bisects angle R what is the length of QT Q A 10 B 12 C 15 R 18 T 12 S

48 8 X

M 50 NK N MK 24 JL 20 L NL ML JM

Find the indicated measure Round to the nearest tenth if necessary 14 The area of a circle is 68 square centimeters Find the diameter SOLUTION

Find the missing measures of Rhombus TUWV Round to the nearest tenth W TU T 5 X V U 8 WU TX TV

following mzB maE the leg w B 9 cm B E Sem E bare er Versave evested by difacts about X Determine BR

7 A coin is flipped 8 times and the result is recorded What is the probability of getting exactly 3 heads Find n S and n A Then find the probability by using P A n A Round to the nearest hundredth n S Optional Complete problems 1 2 4 5 7 11 18 19 22 from your textbook on separate lined paper for extra practice When you are finished check the odd problems for solutions at the back of the textbook

6 Vanessa Samantha Hannah and Jordyn are all part of a 12 member volleyball team Four members of the team are randomly selected to fill the water jug for the day What is the probability that all four of them will be chosen Lesson 21 3 1 5 points