Name: ______________________ Class: _________________ Date: _________ ID: A

North Carolina Math 2 Unit 5 Assessment: Trigonometry

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

____ 1. Find the sine of ∠B.

a. 0.28 c. 3.429b. 0.96 d. 0.292

____ 2. Find the cosine of ∠A.

a. 0.6 c. 0.75b. 0.8 d. 1.333

____ 3. Find the tangent of ∠A.

a. 0.75 c. 0.8b. 0.6 d. 1.333

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Name: ______________________ ID: A

____ 4. What is the length of AC?

a. 10 3 c. 5 3

b. 5 d. 32

____ 5. What is the length of AB?

a. 4 3 c. 2 3b. 4 d. 3

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Name: ______________________ ID: A

____ 6. What is the length of AC?

a. 9 2 c. 2b. 9 d. 1

____ 7. What is the length of AB?

a. 2 c. 7 2b. 1 d. 7

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Name: ______________________ ID: A

____ 8. What is the width, w, of the lake shown below?

a. 2.7 miles c. 3.15 milesb. 3.5 miles d. 2.5 miles

____ 9. Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.

a. BC = 12.689, m∠A = 58°, and m∠C = 32°b. BC = 12.689, m∠A = 32°, and m∠C = 58°c. BC = 17, m∠A = 58°, and m∠C = 32°d. BC = 17, m∠A = 32°, and m∠C = 58°

____ 10. A 11-foot ladder is placed against a wall. The ladder is on level ground at an angle of 73.5° to the horizontal. About how far up the wall will the top of the ladder be located?

a. 11.472 ft c. 37.135 ftb. 10.547 ft d. 3.124 ft

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Name: ______________________ ID: A

____ 11. A landscape photographer in a helicopter is taking pictures of a waterfall that is 160 meters tall. The helicopter is hovering 90 meters away from the waterfall and is level with the waterfall’s tallest point. The photographer is focusing his camera on a point halfway down the waterfall. Approximate the angle of depression of the camera lens.

a. 48° c. 61°b. 29° d. 42°

____ 12. Solve the right triangle below.

a. AB = 20.2, m∠A= 64°, and m∠C = 26°b. AB = 16.7, m∠A= 26°, and m∠C = 64°c. AB = 20.2, m∠A= 26°, and m∠C = 64°d. AB = 16.7, m∠A= 64°, and m∠C = 26°

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Name: ______________________ ID: A

____ 13. You see a hiker sitting on a bench taking a water break at the top of a hill at a 40° angle of elevation. Your eye level is 5 feet off the ground and you are standing 100 feet from the base of the hill. At what altitude is the hiker sitting on the bench?

a. 124 ft c. 119 ftb. 89 ft d. 84 ft

____ 14. A right triangle has one leg that measures 13 feet and another that measures 20 feet. Use sine, cosine, and/or tangent to find the measures of its acute angles.

a. 28° and 62° c. 33° and 57°b. 24° and 66° d. 23° and 67°

____ 15. The triangle below is isosceles. Calculate the sine, cosine, and tangent of ∠X.

a. sin X = 1, cos X = 3.6, and tan X = 0.3b. sin X = 3.6, cos X = 1, and tan X = 0.3c. sin X = 0.3, cos X = 1.0, and tan X = 3.6d. sin X = 1.0, cos X = 0.3, and tan X = 3.6

____ 16. The height of a building is 60 meters. To the nearest degree, what is the angle of elevation of the sun when the building casts a shadow that is 80 meters long?

a. 41°b. It is not possible to determine the answer with the information given.c. 53°d. 37°

____ 17. A right triangle has one leg that measures 9 feet and another that measures 14 feet. Use sine, cosine, and/or tangent to find the measures of its acute angles.

a. 28° and 62° c. 23° and 67°b. 24° and 66° d. 33° and 57°

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Name: ______________________ ID: A

____ 18. A naval ship is stationed in calm waters. The sonar detects a submarine at a depth of about 350 meters and a horizontal distance of 550 meters. What is the distance between the ship and the submarine? What is the angle of depression to the submarine?

a. 359 m and 50° c. 424 m and 40°b. 450 m and 58° d. 652 m and 32°

____ 19. Two silos are 25 meters apart. The height of the shorter silo is 23 meters. The angle of elevation from the shorter silo to the taller silo is 30°. What is the height of the taller silo?

a. 52 m c. 43 mb. 37 m d. 73 m

____ 20. A monument is 96 meters high. At an information booth, an observer notices the angle of elevation to the top of the monument is 39°. How far is the observer from the base of the building?

a. about 119 m c. about 153 mb. about 78 m d. about 124 m

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