How do you find the measure of angle B for the triangle with the following dimensions. A = 45° , a = 60.5 , b = 90?

1 Answer
Nov 11, 2015

You would use the Law of Sines

Explanation:

To set up the Law of Sines equation for this problem, which looks like this:

a/SinA=b/SinB=c/SinC

You have enough information to get started. So plugging in the information given you get:

60.5/Sin45 = 90/SinB

Upon rearrangement

(90Sin45)/60.5 = Sin1.051894

Then taking the inverse sine of this number:

Sin^-1(1.051894)= domain error

With practice you'll be able to look at this and see that this particular triangle isn't possible because you have a number bigger than 1. When you take the inverse sine of this number you will get a domain error.