# Trigonometric Equations Test! Math Trivia Quiz

10 Questions | Attempts: 241  Settings  • 1.
Find the value of x. Round to the nearest degree.
• A.

67

• B.

23

• C.

83

• D.

53

• 2.
Writing Sine in Cosine Terms and Cosine in Sine Terms Write sin 38° in terms of the cosine.
• 3.
Writing Sine in Cosine Terms and Cosine in Sine Terms Write cos 56° in terms of the sine.
• 4.
Find two angles that satisfy the equation. sin(3x + 6)° = cos(x + 44)°.
• 5.
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

• 6.
To find the height of a pole, a surveyor moves 144 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 40 degrees. To the nearest foot, what is the height of the pole?
• A.

145 ft

• B.

125 ft

• C.

135 ft

• D.

121 ft

• 7.
A 22-foot ladder leans against a house and reaches a window that is 14 feet high. How far from the base of the house is the bottom of the ladder? Round your answer to the nearest ft.
• A.

144 feet

• B.

36 feet

• C.

17 feet

• D.

15 feet

• E.

14 feet

• 8.
To guard against a fall, a ladder should make an angle of 71or less with the ground.  What is the maximum height that a 25-foot ladder can reach safely? Round your answer to the nearest tenth.
• 9.
From the top of a 160-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?

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