A stone is placed 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree.*39.93 feet66.35 feet

To solve this problem, we can use the tangent of the angle of elevation, which is the ratio of the opposite side (the height of the tree) to the adjacent side (the distance from the stone to the tree).

The formula for the tangent of an angle in a right triangle is:

tan(θ) = opposite/adjacent

We know the angle of elevation (θ) is 53° and the distance from the stone to the tree (adjacent) is 50 feet. We want to find the height of the tree (opposite). So we can rearrange the formula to solve for the opposite side:

opposite = tan(θ) * adjacent

Substituting the given values:

Height of the tree = tan(53°) * 50 feet

Using a calculator, tan(53°) is approximately 1.32704.

So, the height of the tree is approximately 1.32704 * 50 feet = 66.35 feet.

Therefore, the height of the tree is approximately 66.35 feet.