Answer:
The top of the slide is 19 feet from the ground
Explanation:
The angle of depression is 20.81, hence the angle that the slide makes with its adjacent side (as in a right triangle) is 90 - 20.81 = 69.19°
Now, the slide is the hypotenuse, and we need to find the distance of the top to the ground. hence we need to find the length of the adjacent or vertical side.
So, we use SOHCAHTOA
In this case, CAH, to get,
cos(69.19) = A/(53)
A = 53(cos(69.19))
A = 18.83
A = 19 feet