Question

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

Answer 1

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.