Find the value of x. Round to the nearest tenth. Please show all of your work. Thanks!

Answer:
x ≈ 60.1
Step-by-step explanation:
using the cosine ratio in the right triangle
cos37° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{48}{x}[/tex] ( multiply both sides by x )
x × cos37° = 48 ( divide both sides by cos37° )
x = [tex]\frac{48}{cos37}[/tex] ≈ 60.1 ( to the nearest tenth )