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

Answer:

$1206.22\ \text{ft}$

Step-by-step 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

$\cos\theta=\dfrac{\text{Adjacent side}}{\text{Hypotenuse}}\\\Rightarrow \cos34^{\circ}=\dfrac{1000}{x}\\\Rightarrow x=\dfrac{1000}{\cos 34^{\circ}}\\\Rightarrow x=1206.22\ \text{ft}$

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