Solve the problem.
-Points A and B are on opposite sides of a lake. Point C is 80.7 meters from A. The measure of angle BAC is 72°20', and the measure of angle ACB is determined to be 35°50'. Find the distance between
Points A and B (to the nearest meter).
A)23 m
B)25 m
C)48 m
D)50 m

Question

Quizplus · Accepted Answer

Using the law of sines, we can find the distance AB. First, calculate angle ABC: 180° - 72°20' - 35°50' = 71°50'. Then, use the law of sines: AB/sin(35°50') = 80.7/sin(71°50'). Solving for AB gives approximately 50 meters.

Solve the Problem. -Points a and B Are on Opposite Sides of a Sides