Question

ASAP explain how to solve step by step.....-  Points A and B are on opposite sides of a lake. A point C is 81.3 meters from A. The measure of angle BAC is 78.33°, and the measure of angle ACB is determined to be 34.167°. Find the distance between points A and B (to the nearest meter).

Answer 1

m∠B=180 - 78.33 - 34.167 = 67.503°

By the law of sines:

AB/sinC = AC/sinB ⇒
AB = (AC*sinC)/sinB = (81.3*sin34.167°)/sin67.503° =
=(81.3*0.5616)/0.9239 ≈ 49 m.