SOLUTION: Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of angle BAC is 70.5 , and the measure of angle ACB is 38.83 . Find the distance betwe

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 angle BAC is 70.5 , and the measure of angle ACB is 38.83 . Find the distance betwe      Log On


   

Question 1120686: Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of angle BAC is 70.5 , and the measure of angle ACB is 38.83 . 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!
Draw the figure for your description. Angle ABC is measure 71.5 degrees.

Use Law Of Sines to find length AB.

105%2Fsin%2871.5%29=AB%2Fsin%2838%29