contestada

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?

Respuesta :

okpalawalter8

Answer:

[tex]X=49ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Eagle [tex]h=40ft[/tex]

Angle of depression [tex]\theta=35\textdegree[/tex]

 

Generally the trigonometry equation for diagonal X is mathematically given by

[tex]Cos\theta \textdegree=\frac{Adjacent}{Hypotenuse} }[/tex]

[tex]Cos\theta \textdegree=\frac{h}{X} }[/tex]

[tex]X=\frac{40}{Cos 35 } }[/tex]

[tex]X=48.83ft[/tex]

[tex]X=49ft[/tex]