Question

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

Answer 1

Answer:

33.7 degrees or 34 degrees

Step-by-step explanation:

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

The person is standing vertically and the shadow is cast on the horizontal ground.  Hence the person, the ground and the line connecting Sun, person head and end of shadow forms a right triangle.

In the right triangle two legs are height and length of shadow

Hence equal to 4 and 6

Angle the sun makes with the ground will have

tan = 4/6

Hence angle = tan inverse of 4/6

=33.7

Answer 2

Answer:  $\alpha=34\°$

Step-by-step explanation:

1. Based on the information given in the problem, you can draw the right triangle shown in the figure attached.

2. Keeping the informationn given in the problem, you can calculate the angle that the sum makes with the ground ($\alpha$)as you can see below:

$arctan\alpha=\frac{opposite}{adjacent}$

Where:

$opposite=4\\adjacent=6$

3. Then:

 $arctan\alpha=\frac{4}{6}$

$\alpha=34\°$