Question

The angle of depression between a bird and its prey is 70 degrees. If the bird is 18 ft off the ground, what is the distance between the bird and its prey? Round to the nearest foot

Answer 1

19 ft

Explanation:

We are given that

`\theta=70^(\circ)`

Height of bird from the ground=h=18 ft

We have to find the distance between the bird and its prey.

We know that

`sin\theta=(perpendicular\;side)/(hypotenuse)`

Using the formula

`sin70=(18)/(hypotenuse)`

`hypotenuse=(18)/(sin70)=19.1 ft\approx 19ft`

Hence, the distance between the bird and its prey=19 ft