Points A and B are on opposite sides of a lunar crater. Point C is 42 meters from point A. The measure of BAC is 113 and the measure of ACB is 40. What is the width of the crater?

Answer 1

width of the crater = about 59.46617743

width = about 59.5 meters

calculate the 3rd angle = 180-40-113 = 27 degrees

then Use the Law of Sines

w/Sin40 = 42/Sin27

w = 42Sin40/Sin27 =about 59.5 meters

It helps to draw a rough sketch of a circle, with a diameter horizontally through the middle = the crater's width

w is opposite angle 40

42 is opposite angle 27