Question

The angle of depression from a helicopter to its landing space is 56°. If the helicopter is flying at 1000 ft, find the distance from the helicopter to the landing space

Answer 1

`1206.22\ \text{ft}`

Explanation:

The height at which the helicopter is 1000 ft

Angle of depression is
`56^(\circ)`

`\theta=90-56=34^(\circ)`

We have the relation

`\cos\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}\\\Rightarrow \cos34^(\circ)=(1000)/(x)\\\Rightarrow x=(1000)/(\cos 34^(\circ))\\\Rightarrow x=1206.22\ \text{ft}`

The distance of the helicopter to the landing space is
`1206.22\ \text{ft}`.