Question

Henry is standing 4 feet from the base of a tree in his yard. The tree is 14 feet tall. What is the angle of elevation the point on the ground where he is standing, to the top of the tree? Round to the nearest tenth?

Answer 1

63.4

Explanation:

First, find the height of the tree relative to Henry by subtracting his height from the tree's height: 14 feet - 4 feet = <<14-4=10>>10 feet

Next, use the formula for finding the angle of elevation: tan(angle) = opposite side / adjacent side

Since the opposite side is the tree's height relative to Henry and the adjacent side is the distance between Henry and the tree, plug in the values: tan(angle) = 10 feet / 4 feet

Solve for the angle: tan(angle) = 2.5

Since the inverse tangent function is used to find the angle given the tangent value, find the inverse tangent of 2.5: angle = tan^-1(2.5) = 63.4 degrees

Round to the nearest tenth: 63.4 degrees rounded to the nearest tenth is 63.4 degrees. Answer: {63.4}.

Answer 2

Here

Explanation:

54.5°