Question

What is the value of sin E?Give your answer as a simplified fraction.

Answer 1

For this problem we first use the pythagorean theorem to find QH

$\begin{gathered} QH^2+HE^2=QE^2 \\ QH^2=QE^2-HE^2=101^2-99^2=400 \\ QH=20 \end{gathered}$

Then

$\sin (E)\text{ =}\frac{QH}{QE}=\frac{20}{101}$