Question

find the value of each variable. leave your answer in simplest radical form

Answer 1

You are looking for the length of the opposite side, a. You know the length of the hypotenuse and the angle. Do you know what trigonometric function uses these three?
Hint: it will be cos, sin or tan

Answer 2

\[a=\sin (45) \times 9\sqrt{2}\]
\[a=\sqrt{2}/2 \times 9\sqrt{2}\]
\[a=9\] or
\[a=\sqrt{9^{2}}\]