Question

Use a trigonometric ratio to solve for x. Round to two decimal places as necessary.

Answer 1

x ≈ 26.83

Explanation:

using the sine ratio in the right triangle

sin59° =
`(opposite)/(hypotenuse)` =
`(23)/(x)` ( multiply both sides by x )

x × sin59° = 23 ( divide both sides by sin59° )

x =
`(23)/(sin59)` ≈ 26.83 ( to 2 decimal places )