Answer:
x ≈ 10.0
Step-by-step explanation:
Using the sine ratio in the right triangle
sin37° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DF}{DE}[/tex] = [tex]\frac{6}{x}[/tex] ( multiply both sides by x )
x × sin37° = 6 ( divide both sides by sin37° )
x = [tex]\frac{6}{sin37}[/tex] ≈ 10.0 ( to the nearest tenth )
