In ΔGHI, the measure of ∠I=90°, GH = 96 feet, and IG = 25 feet. Find the measure of ∠H to the nearest tenth of a degree.

15.1°

Step-by-step explanation:

In ΔGHI, the measure of ∠I=90°, GH = 96 feet, and IG = 25 feet. Find the measure of ∠H to the nearest tenth of a degree.

We solve using sine rule

GH/sin I = lG/ sin H

96/sin 90 = 25/sin H

Cross Multiply

sin 90 × 25 = sin H × 96

sin H => sin 90 × 25/96

H => arc sin( sin 90 × 25/96)

H => 15.09479°

Approximately ∠H = 15.1°

15.1

Step-by-step explanation: