Answer:
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.
