Question

Trigonometric functions: what is the value of x?

Answer 1

x ≈ 19.7

Explanation:

Using the sine ratio in the right triangle.

sin66° =
`(opposite)/(hypotenuse)` =
`(18)/(x)` ( multiply both sides by x )

x × sin66° = 18 ( divide both sides by sin66° )

x =
`(18)/(sin66)` ≈ 19.7 ( to the nearest tenth )