Question

An eagle perched 40 ft up in a tree looks down at a 35 degree angle(angle of depression) and spots a vole. How far is the vole from the eagle(diagonal) to the nearest tenth of a foot?

Answer 1

Answer:

$X=49ft$

Step-by-step explanation:

From the question we are told that:

Height of Eagle $h=40ft$

Angle of depression $\theta=35\textdegree$

 

Generally the trigonometry equation for diagonal X is mathematically given by

$Cos\theta \textdegree=\frac{Adjacent}{Hypotenuse} }$

$Cos\theta \textdegree=\frac{h}{X} }$

$X=\frac{40}{Cos 35 } }$

$X=48.83ft$

$X=49ft$