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What is the length of the missing side SR? Round answer to the nearest tenth.

What is the length of the missing side SR? Round answer to the nearest tenth.-example-1
User Ani
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2 Answers

3 votes
The missing side is 64 feet
User Chleo
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4 votes

Answer:

Explanation:

The given triangle is not a right angle triangle. Since 2 angles and 1 side is known, we would apply the sine rule which is expressed as

m/SinM = r/SinR = s/SinS

Where m, r and s are the length of each side of the triangle and angle M, Angle R and angle S are the corresponding angles of the triangle.

From the information given,

Angle S = 101°

s = 54

Angle M = 37°

SR = m

Therefore

54/Sin 101 = SR/Sin 37

Cross multiplying, it becomes

54Sin37 = SRSin101

54 × 0.6018 = SR × 0.9816

SR = 32.4972/0.9816

SR = 33.1

User Unbywyd
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