New #6 find the value of x. Round answer to nearest tenth.

This is a right triangle. We know that
[tex]\sin x = \frac{\text{opposite side}}{\text{hypotenuse}}[/tex]
Therefore,
[tex]\sin x = \frac{15}{20} = \frac{3}{4} = 0.75[/tex]
Now we have:
[tex]x=\sin^{-1}0.75[/tex]
[tex]x=48.6[/tex]