Question

You are standing 24 feet from the base of a tree. The angle of elevation to the top of the tree is 34 degrees. What is the height of the tree (in feet)? Round your answer to the nearest tenth.

Answer 1

16.2feet

Explanation:

Using the SOH CAH TOA identity

Given the following

Base side = 24feet

angle of elevation = 34degrees

Required

Height of the tree (opposite)

tan theta = opposite/adjacent

tan 34 = H/24

H = 24tan34

H = 24(0.6745)

H = 16.2feet

Hence the height of the tree is 16.2feet