SOLUTION: From two observation points A and B, a sinking ship is spotted at point C. Angle CAB is 28° and angle ABC is 60°. The distance between A and B is 4.12 miles. How far is the ship fr

Algebra ->  Trigonometry-basics -> SOLUTION: From two observation points A and B, a sinking ship is spotted at point C. Angle CAB is 28° and angle ABC is 60°. The distance between A and B is 4.12 miles. How far is the ship fr      Log On


   

Question 979150: From two observation points A and B, a sinking ship is spotted at point C. Angle CAB is 28° and angle ABC is 60°. The distance between A and B is 4.12 miles. How far is the ship from point A to the nearest hundredth of a mile?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle ABC;
Measure at A is 28 degrees
measure at B is 60 degrees
According to 180, sum of angle measures of a triangle, measure at C i 92 degrees.


You want measure of length AC;
Law Of Sines:

sin%28C%29%2F4.12=sin%2860%29%2FAC

AC%2Fsin%2860%29=4.12%2Fsin%28C%29

AC=4.12%2Asin%2860%29%2Fsin%28C%29

AC=4.12%28sin%2860%29%2Fsin%2892%29%29
Evaluate and compute as you want.