Question

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

Answer 1

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