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Use the Law of Sines to find the missing side of the triangle.

Find the measure of b, given mA=34 degrees, mB=78 degrees, and a=36

A. 19.7
B. 20.6
C. 63.0
D. 42.5

Respuesta :

Using the law of sines, we can write the formula as:

[tex] \frac{a}{sin(A)}= \frac{b}{sin(B)} \\ \\ b= \frac{a*sin(B)}{sin(A)} [/tex]

We are given the values of a, A and B. Using these in the above formula, we get:

[tex]b= \frac{36*sin(78)}{sin(34)} \\ \\ b=62.97[/tex]

Rounding to nearest integer, the length of side b will be 63.

So, option C gives the correct answer