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taurus [48]
3 years ago
10

In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.​

Mathematics
1 answer:
vodomira [7]3 years ago
8 0

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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