Find the value of x. Round the length to the nearest tenth

Answer:
x ≈ 777.9 m
Step-by-step explanation:
The lower right angle = 40° ( alternate angle )
Using the sine ratio in the right triangle
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{500}{x}[/tex] ( multiply both sides by x )
x × sin40° = 500 ( divide both sides by sin40° )
x = [tex]\frac{500}{sin40}[/tex] ≈ 777.9 m ( to the nearest tenth )