Question

A tree that is 100 feet tall casts a shadow that is 150 feet long. What is the angle at which the rays of the sun hit the ground to the nearest degree?

Answer 1

`33^@`

Explanation:

The ratio of the tree height to shadow length is `2/3`

So the angle of the sun is `theta=arctan(2/3)`

and with the aid of a calculator, `theta ~~33^@`