Answer:
x = 36.9°
Explanation:
We need to find out what sides of the triangle we have, so we can find the formula for the missing angle, x.
We have been given the opposite and hypotenuse so we are using sine
SOH, CAH, TOA
sin (x) = opp ÷ hyp
Substitute in the values
sin (x) = 9 ÷ 15
Simplify
sin (x) = 0.6
Rearrange to find x
x = sin^-1(0.6) - Type this into your calculator
sin^-1 is the inverse or opposite of sin
x = 36.8698... ≈ 36.9°