SOLUTION: Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of ∠BAC is 70.5°, and the measure of ∠ACB is determined to be 38.833°. Fin

Algebra ->  Trigonometry-basics -> SOLUTION: Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of ∠BAC is 70.5°, and the measure of ∠ACB is determined to be 38.833°. Fin      Log On


   

Question 1121158: Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of ∠BAC is 70.5°, and the measure of ∠ACB is determined to be 38.833°. Find the distance between points A and B (to the nearest meter)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Measure at angle ABC is 180-70.5-38.833=70.667%2Adegrees.

Next, use Law Of Sines to find length AB.