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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.

Respuesta :

Answer:

GH ≈ 12.5 ft

Step-by-step explanation:

Using the sine ratio in the right triangle

sin34° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GH}[/tex] = [tex]\frac{7}{GH}[/tex] ( multiply both sides by GH )

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

GH = [tex]\frac{7}{sin34}[/tex] ≈ 12.5 ft ( to the nearest tenth )

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