Question

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°?

Answer 1

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`