Question

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=34°, and HI = 7 feet. Find the length of GH to the nearest tenth of a foot.

Answer 1

GH ≈ 12.5 ft

Explanation:

Using the sine ratio in the right triangle

sin34° =
`(opposite)/(hypotenuse)` =
`(HI)/(GH)` =
`(7)/(GH)` ( multiply both sides by GH )

GH × sin34° = 7 ( divide both sides by sin34° )

GH =
`(7)/(sin34)` ≈ 12.5 ft ( to the nearest tenth )