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In ΔHIJ, h = 97 cm, m m∠H=144° and m m∠I=24°. Find the length of i, to the nearest 10th of a centimeter.
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In ΔHIJ, h = 97 cm, m m∠H=144° and m m∠I=24°. Find the length of i, to the nearest 10th of a centimeter.

User Evan Chu
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2 Answers

4 votes

Answer: 67.1

Explanation:

User Savannah
by
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Answer: 67.1 cm

Explanation:

Using the Law of Sines:


(i)/(\sin I)=(h)/(\sin H)\\\\(i)/(\sin 24^(\circ))=(97)/(\sin 144^(\circ))\\\\i=(97 \sin 24^(\circ))/(\sin 144^(\circ))\\\\i \approx 67.1 \text{ cm}

User Sushant Srivastava
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