Answer:
19 feet
Explanation:
We are given that
Angle of depression from the top to the pool,[tex]\theta[/tex]=20.81 degree
Length of slide=53 ft
We have to find the distance of top from the ground.
In triangle ABC
AC=53 feet
[tex]\theta=20.81^{\circ}[/tex]
[tex]sin\theta=\frac{Perpendicular\;side}{Hypotenuse}[/tex]
Using the formula
[tex]sin20.81=\frac{AB}{53}[/tex]
[tex]AB=53sin20.81[/tex]
[tex]AB=18.8\approx 19 ft[/tex]
Hence, the distance of the top of the slide from the ground=19 feet
