find the value of x.

Answer:
x ≈ 55.9°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{29}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{24}{29}[/tex] ) ≈ 55.9° ( to 1 dec. place )