Question

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

Answer 1

x ≈ 777.9 m

Explanation:

The lower right angle = 40° ( alternate angle )

Using the sine ratio in the right triangle

sin40° =
`(opposite)/(hypotenuse)` =
`(500)/(x)` ( multiply both sides by x )

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

x =
`(500)/(sin40)` ≈ 777.9 m ( to the nearest tenth )