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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.

2 Answers

3 votes

Answer:

15.1

Explanation:

User Wes Chua
by
4.5k points
4 votes

Answer:

15.1°

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°

User Istiaque Ahmed
by
5.0k points