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 heigh t of the tree (in feet)? Round your answer to the nearest tenth.
1 answer:
Answer:
16.2feet
Step-by-step 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
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