Answer:
19 ft
Step-by-step explanation:
We are given that
[tex]\theta=70^{\circ}[/tex]
Height of bird from the ground=h=18 ft
We have to find the distance between the bird and its prey.
We know that
[tex]sin\theta=\frac{perpendicular\;side}{hypotenuse}[/tex]
Using the formula
[tex]sin70=\frac{18}{hypotenuse}[/tex]
[tex]hypotenuse=\frac{18}{sin70}=19.1 ft\approx 19ft[/tex]
Hence, the distance between the bird and its prey=19 ft
