Question

A bird sitting at the top of a tree looks down at an angle of 500 , at an earthworm on the ground. If the earthworm is 7m away from the base of the tree, determine the height of the tree to 1 decimal place.

Answer 1

Answer: 8.3 m

Explanation:

Given

The angle of declination is
`50^(\circ)`

Earthworm is
`7\ m` away from the base of the tree

Suppose h is the height of the tree

from the figure, we can write

`\Rightarrow \tan 50^(\circ)=(h)/(7)\\\\\Rightarrow h=7\tan 50^(\circ)=8.3\ m`