Answer:
D
Step-by-step explanation:
So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.
Recall that:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in 10.2 for the opposite side and 15 for the hypotenuse:
[tex]\sin(\theta)=10.2/15[/tex]
Solve for θ. Use a calculator:
[tex]\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree[/tex]
The answer is D.
