Question

Use the law of cosines to solve for the length of side b. Show all of your work for full credit.

Answer 1

`b = 9.04`

Explanation:

The Law of Cosines:

`b^2 = a^2 + c^2 - 2ac \cos B`

a = 11; c = 16; B = 33°

`b^2 = 11^2 + 16^2 - 2(11)(16) \cos 33^\circ`

`b^2 = 377 - 352 * 0.83867056`

`b^2 = 81.789`

`b = 9.04`