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2 votes
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.

User Kennyzx
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2 Answers

13 votes
13 votes

Answer:

15.1

Explanation:

User Dirk Smaverson
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3.3k points
5 votes
5 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 Chou
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3.0k points