Question

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

Answer 1

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° = $\frac{opposite}{hypotenuse}$ = $\frac{500}{x}$ ( multiply both sides by x )

x × sin40° = 500 ( divide both sides by sin40° )

x = $\frac{500}{sin40}$ ≈ 777.9 m ( to the nearest tenth )