Marc P. answered • 11/17/19

Ivy League Grad to Help with Standardized Tests and Academic Work

The lake is irrelevant to this problem. First, draw triangle ABC with the given values. Now, let's recognize that we have two angles in this triangle, so we can find the third: B = 180 - A - C = 180 - 102 - 49 = 29. Now we can use the law of sines, which says c/sinC = b/sinB. We can rearrange that to get c = b*sinC/sinB. Since you know the length of side b and the measures of angles B and C, just plug in those values and calculate.