# 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:

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

Upon rearrangement

Then taking the inverse sine of this number:

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.