A 10- meter vertical wall cast a shadow 10√3 meters. What is the angle of elevation of the sun from the ground?

To solve this problem, we can use the concept of trigonometry. Specifically, we'll use the tangent of an angle in a right triangle, which is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Here, the length of the shadow (10√3 meters) is the adjacent side and the height of the wall (10 meters) is the opposite side.

So, we have:

tan(θ) = opposite/adjacent tan(θ) = 10 / 10√3 tan(θ) = 1/√3

Now, we need to find the angle whose tangent is 1/√3.

If you're familiar with the unit circle or common values of trigonometric functions, you might know that this is 30 degrees. If not, you can use a calculator to find the inverse tangent (also known as the arctangent) of 1/√3.

So, the angle of elevation of the sun from the ground is 30 degrees.