What is the height of a tree if a man standing 5 feet tall is 42 ft from the tree and sees the top of the tree at an angle of elevation of 32°?

Question

asked May 25, 2022 18.7k views

1 Answer

Bruni · Answer 1 · 2022-05-31T18:45:14+0000

Answer:
$31.24\ ft$

Explanation:

Given

The height of a man is 5 ft

Distance between man and tree is 42 ft

the angle of elevation is
$32^(\circ)$

Suppose h is the height of the tree

$\Rightarrow \tan 32^(\circ)=(h-5)/(42)\\\\\Rightarrow h-5=26.24\\\Rightarrow h=31.24\ ft$