Answer: 8.3 m
Step-by-step explanation:
Given
The angle of declination is [tex]50^{\circ}[/tex]
Earthworm is [tex]7\ m[/tex] away from the base of the tree
Suppose h is the height of the tree
from the figure, we can write
[tex]\Rightarrow \tan 50^{\circ}=\dfrac{h}{7}\\\\\Rightarrow h=7\tan 50^{\circ}=8.3\ m[/tex]
