quiz rt triangle trig word prob

8/12/2019 Quiz Rt Triangle Trig Word Prob

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Name ____________________________________ Date _____________ Class Period ______

Right Triangle Trigonometry Word Problems Quiz

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 150feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle

between the piling and the pier is 40. What is the distance between the piling and the pier to the nearest foot?a. 115 ft c. 179 ft

b. 126 ft d. 96 ft

____ 2. A radio transmission tower is 150 feet tall. How long should a guy wire be if it is to be attached 5 feet fromthe top and is to make an angle of 20 with the ground? Give your answer to the nearest tenth of a foot.a. 159.6 ft c. 154.3 ft

b. 424.0 ft d. 438.6 ft

____ 3. A building 210 feet tall casts a 60 foot long shadow. If a person looks down from the top of the building, whatis the measure of the angle between the end of the shadow and the vertical side of the building (to the nearestdegree)? (Assume the person's eyes are level with the top of the building.)a. 16 c. 73

b. 74 d. 17

____ 4. John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak tree. He firstmeasures the angle of elevation from where he is standing as 35. He walks 30 feet closer to the tree and findsthat the angle of elevation has increased by 12. Estimate the height of the tree rounded to the nearest wholenumber.a. 61 ft c. 90 ft

b. 67 ft d. 86 ft

____ 5. A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24. Find the height of the tree tothe nearest meter.a. 13 m c. 10 m

b. 11 m d. 12 m

____ 6. A surveyor standing 58 meters from the base of a building measures the angle to the top of the building andfinds it to be 38. The surveyor then measures the angle to the top of the radio tower on the building and findsthat it is 50. How tall is the radio tower?a. 8.72 m c. 12.33 m

b. 8.42 m d. 23.81 m


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____ 7. A guy wire to the top of a tower makes an angle of 61 with the level ground. At a point 28 feet farther fromthe base of the tower and in line with the base of the wire, the angle of elevation to the top of the tower is 30.What is the length of the guy wire?a. 27.18 ft c. 16.01 ft

b. 48.98 ft d. 47.55 ft

____ 8. Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit.Point C is 53 feet from point A and 70 feet from point B. The angle ACB is 51. How far apart are points Aand B?a. 100.2 ft c. 55.1 ft

b. 73.3 ft d. 111.3 ft

____ 9. The distance from home plate to dead center field in a certain baseball stadium is 403 feet. A baseballdiamond is a square with a distance from home plate to first base of 90 feet. How far is it from first base todead center field?a. 345.3 ft c. 328.2 ft

b. 380.6 ft d. 471 ft

____ 10. A new homeowner has a triangular-shaped back yard. Two of the three sides measure 65 ft and 80 ft and forman included angle of 125. The owner wants to approximate the area of the yard, so that he can determine theamount of fertilizer and grass seed to be purchased. Find the area of the yard rounded to the nearest squarefoot.a. 5200 sq. ft c. 2129 sq. ft

b. 4260 sq. ft d. 2130 sq. ft


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Right Triangle Trigonometry Word Problems QuizAnswer Section

MULTIPLE CHOICE

1. ANS: B PTS: 1 2. ANS: B PTS: 1

3. ANS: A PTS: 1

4. ANS: B PTS: 1

5. ANS: D PTS: 16. ANS: D PTS: 1

7. ANS: A PTS: 1

8. ANS: C PTS: 1

9. ANS: A PTS: 1

10. ANS: D PTS: 1

quiz rt triangle trig word prob

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