Question

A 6-foot tall person standing with her back to the sun casts an 8-foot long shadow. To the nearest degree, what angle does the sun make with the ground?

Answer 1

tgα = 6/8 = 0,75
α≈37 °

Answer 2

Explanation:

Alright, lets get started.

Please refer the diagram I have attached.

Let us suppose the sun has angle of elevation x

The triangle formed will be a right triangle, so

`tan x= (opposite)/(adjacent)`

`tanx = (6)/(8)`

taking tan inverse

`x=tan^(-1)((6)/(8) )`

`x=36.87`

To the nearest degree, the angle will be 37 degrees. : Answer

Hope it will help :)