Can You Solve These Trigonometric Equations? Amos Quiz
15 Questions
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Questions and Answers
- 1.To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 44 degrees. To the nearest foot, what is the height of the pole?
- A.
145 ft
- B.
149 ft
- C.
135 ft
- D.
139 ft
- 2.To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 44 degrees. To the nearest foot, what is the height of the pole?
- A.
145 ft
- B.
149 ft
- C.
135 ft
- D.
139 ft
- 3.
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To guard against a fall, a ladder should make an angle of 75or less with the ground. What is the maximum height that a 20-foot ladder can reach safely? Round your answer to the nearest tenth. - 4.Writing Sine in Cosine Terms and Cosine in Sine Terms Write sin 28° in terms of the cosine.
- 5.Find two angles that satisfy the equation.sin(3x + 2)° = cos(x + 44)°.
- 6.Writing Sine in Cosine Terms and Cosine in Sine Terms Write cos 51° in terms of the sine.
- 7.
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Find the value of x. Round to the nearest degree.- A.
67
- B.
23
- C.
83
- D.
53
- 8.
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A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the totem pole casts a 249 foot long shadow. Find the measure of angle A to the nearest degree.- A.
68
- B.
45
- C.
35
- D.
22
- 9.A 26 foot ladder leans against a house and reaches a window that is 24 feet high. How far from the base of the house is the bottom of the ladder?
- A.
5 feet
- B.
35 feet
- C.
10 feet
- D.
15 feet
- E.
14 feet
- 10.
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To guard against a fall, a ladder should make an angle of 75or less with the ground. What is the maximum height that a 20-foot ladder can reach safely? Round your answer to the nearest tenth. - 11.From the top of a 150-ft high tower, at an angle of 12 degrees, an air traffic controller observes an airplane on the runway. To the nearest foot, how far from the base of the tower is the airplane?
- 12.Writing Sine in Cosine Terms and Cosine in Sine TermsWrite sin 44° in terms of the cosine.
- 13.Writing Sine in Cosine Terms and Cosine in Sine TermsWrite cos 55° in terms of the sine.
- 14.From the top of a 150-ft high tower, at an angle of 15 degrees, an air traffic controller observes an airplane on the runway. To the nearest foot, how far from the base of the tower is the airplane?
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