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

`X=49ft`

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=(Adjacent)/(Hypotenuse) }`

`Cos\theta \textdegree=(h)/(X) }`

`X=(40)/(Cos 35 ) }`

`X=48.83ft`

`X=49ft`