Erik and Zach are camping. Erik leaves Zach at the campsite and walks 3.6 miles. He then turns at a 114˚ angle and walks another 2.3 miles. If Erik were to walk directly back to Zach, how far would he walk? (draw a picture to help you solve)

Answer 1

did you draw a diagram? If so, you can see that the distance x is found using the law of cosines:

x^2 = 3.6^2 + 2.3^2 - 2*3.6*2.3*cos66˚