Question

Solve for x round to the nearest tenth if necessary

Answer 1

x ≈ 7.7

Explanation:

Using the sine ratio in the right triangle

sin69° =
`(opposite)/(hypotenuse)` =
`(HI)/(GI)` =
`(7.2)/(x)` ( multiply both sides by x )

x × sin69° = 7.2 ( divide both sides by sin69° )

x =
`(7.2)/(sin69)` ≈ 7.7 ( to the nearest tenth )