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

Answer:

Step-by-step 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

$tan x= \frac{opposite}{adjacent}$

$tanx = \frac{6}{8}$

taking tan inverse

$x=tan^{-1}(\frac{6}{8} )$

$x=36.87$

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

Hope it will help :)