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In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.
Question
In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.
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Mathematics
4 years
2021-08-13T04:02:56+00:00
2021-08-13T04:02:56+00:00 1 Answers
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Answer:
Step-by-step explanation:
We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to
180 – B – C. Therefore,
angle A = 180 – 11 – 75 so
angle A = 94. And the Law of Sines is
600sin94 = asin11 and solve for a:
a = 3136.85