Two cars need to merge into a lane at the vertex of angle C. The angle between lane AC and lane BC is .

Question

Two cars need to merge into a lane at the vertex of angle C. The angle between lane AC and lane BC

is . Car A is 100 feet from the vertex at angle C and Car B is 50 feet from the vertex at angle C.

What is the horizontal distance between Car A and Car B?

Answer 1

If we know the measure of angle C, we can use the law of cosine to determine the third side in the triangle. The value for angle C is not given, but if that value is given, we can solve the problem.