The next right triangle is formed:
x (in ft) represents the distance that the owl has to fly.
By definition,
[tex]\sin (\text{angle)}=\frac{\text{ opposite side}}{\text{ hypotenuse}}[/tex]
From the picture,
[tex]\sin (32^o)=\frac{200}{x}[/tex]
Solving for x:
[tex]\begin{gathered} x=\frac{200}{\sin (32^o)} \\ x=\frac{200}{0.53} \\ x=377.4\text{ ft} \end{gathered}[/tex]
