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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Thiên Hương 4 years 2021-08-13T04:02:56+00:00 1 Answers 36 views 0

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    2021-08-13T04:04:24+00:00

    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

    \frac{sin94}{a}=\frac{sin11}{600} and cross multiply to get

    600sin94 = asin11 and solve for a:

    a=\frac{600sin94}{sin11} gives you that

    a = 3136.85

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