Question

You stand 40 feet from a tree. The angle of elevation from your eyes (5 feet above the ground) to the top of the tree is 47 degrees. How tall is the tree?

Answer 1

The height of the tree is approximately 42.04 feet.

Step-by-step explanation:

To find the height of the tree, we can use trigonometry. Let's start by drawing a diagram:

In the diagram, the line AC represents the height of the tree and the line AB represents the distance between you and the tree. The angle of elevation is 47 degrees.

We can use the tangent function to find the height of the tree:

tan(47) = AC/40

AC = 40 * tan(47)

AC ≈ 42.04 feet

Therefore, the height of the tree is approximately 42.04 feet.