help me with maths

Question

If a person holding a basketball at eye level of height 165cm is standing at the centre circle what is the angle of depression from the hoop to the basketball?

Answer 1

This question also appeared in the Trigonometry section. Here is my answer:

 

the hoop is 3.05m from the floor; the center of the hoop is 4.3m from the foul shot line as measured along the floor
from those two facts, we can calculate the distance from the center of the hoop to the foul shot line, which is 5.3m
so, we have a right triangle with sides of 3.05m and 4.3m, and an hypotenuse of 5.3m

using the definition of the sine function (opposite/hypotenuse), we get a decimal of 0.578, which is 35^o