Question

A helicopter is told taht there is another helicopter 300 feet below at 76°angle of depression. Approximately how far apart are the helicopters? Round to the nearest foot

Answer 1

Answer: $309\ ft$

Step-by-step explanation:

Given

Vertical distance between two helicopters is 300 ft

angle of depression is $76^{\circ}$

Suppose the distance between the helicopters is d

from the figure, we can write

$\Rightarrow \sin 76^{\circ}=\dfrac{300}{d}\\\\\Rightarrow d=\dfrac{300}{\sin 76^{\circ}}\\\\\Rightarrow d=309.18\approx 309\ ft$