18
QuizMultiple Choice

Angle Relationships

Question 18 • FT GMS AMDM B IC – 72

A water slide is a straight ramp 25 m long that starts from the top of a tower. If the angle the slide forms with the top of the tower is 33°, determine the height of the tower. Round your answer to the nearest meter.

Answer
A
30 m
B
25 m
C
24 m
D
21 m

Explanation

The tower is vertical, so the 33° angle is between the slide and the tower’s height. The 25 m slide is the hypotenuse, and the height is adjacent to the angle: height = 25 cos(33°) ≈ 20.97 m. Rounded to the nearest meter, the tower is 21 m tall, choice D.

AI-written and checked against the verified answer.

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