SOLUTION: I need help understanding how to figure out a problem using the law of sines using only one angle measurement, 55, and two side measurements, 9 and 11.

Question 133473This question is from textbook Geometry Applications and connections
: I need help understanding how to figure out a problem using the law of sines using only one angle measurement, 55, and two side measurements, 9 and 11. This question is from textbook Geometry Applications and connections

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The law of sines only works for two sides and one angle if the angle is one of the non-enclosed angle. See diagram. If the 2 sides are a and b, and the angle is angle C, then the Law of Sines won't help you. But if you are given sides a and b and then either angle A or angle B, the Law of Sines works just fine.

Let's say that the angle is angle A, side a is 9 and side b is 11.

The law of sines is:

Then , and you can calculate c by

I'll let you take care of the arithmetic.
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