Question

A hawk sitting on a tree branch spots a mouse on the ground $15$feet from the base of the tree. The hawk swoops down toward the mouse at an angle of ${30}^o$. What is the distance from the tree branch to the mouse?

• A. $7.5ft$
• B. $15ft$
• C. $26ft$
• D. $30ft$

Answer 1

The correct option is D $30ft$

$BC=15m$

$\sin A=\frac{BC}{AC}$

$\sin 30=\frac{15}{AC}$

$⟹\frac{1}{2}=\frac{15}{AC}$

$⟹AC=30ft$