Question

John who is 5 ft y’all is standing 20 feet away from a tree, and you measure the angle of elevation to be 38 degrees. How tall is the tree? Find your answer to the nearest tenth.

Answer 1

The height of the tree is 20.62ft

Explanation:

Hello,

To solve this problem, we need to a good pictorial understanding of the situation.

See attached document for better illustration.

Next we find the value of x and then add the height of john to it.

To find x, we nee to use trigonometric ratio

SOHCAHTOA

Tanθ = opposite/ adjacent

θ = 38°

Adjacent = 20ft

Opposite = x

Tan38 = x / 20

x = 20tan38

x = 20 × 0.7812

x = 15.62ft

The height of the tree = x + John's height

Height of the tree = 15.62ft + 5ft

Height of the tree = 20.62ft