Isabell is standing at the top of a waterslide that leads to a pool below. The angle of depression from top of the slide to the pool is 26.67°, and the slide is 33 feet long. How far is the top of the slide from the ground? Round your answer to the nearest foot. 66 feet 54 feet 30 feet 15 feet

15 feet

Explanation:

The Angle of Depression refers to the angle between a horizontal line and the line joining an observer's eye to some object (pool in this case) beneath the horizontal line.

According to the question, the angle of depression from Isabel's viewpoint, which is the top of the slide, to the pool is 26.67°. The slide is 33feet long. (See attached image for diagram).

To find the horizontal distance from the top of the slide to the ground, we use the sine rule, i.e.

sin(θ) = Opposite / Hypotenuse

Where; θ= 26.67°

Opposite= x

Hypotenuse= 33ft

Opposite side is represented by "x" in the diagram, while the Hypotenuse side is the side facing the right angle, which is 33ft long.

Hence, Sin 26.67° = x/33

x = 33 × Sin 26.67°

x = 33 × 0.448851168

x = 14.8120

Approximately to nearest foot, 14.812 ~ 15feet.

Hence, the top of the slide is 15feet far from the ground.

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