A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow.

To the nearest degree, what angle does the sun make with the ground?

The correct answer is 34 degrees

For this case we have the following trigonometric relationship:

Tan (x) = (4/6)

Clearing the angle we have:

x = Atan (4/6)

x = 33.69006753

Rounding off we have:

x = 34 degrees

Answer:

The angle that sun makes with the ground is:

x = 34 degrees