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?

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

The correct answer is 34 degrees