SOLUTION: A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the lighthouse is 63 degrees (12 km is the length of

Algebra ->  Trigonometry-basics -> SOLUTION: A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the lighthouse is 63 degrees (12 km is the length of       Log On


   

Question 40733: A lobster boat is situated due west of a lighthouse. A barge is 12 km south of the lobster boat. From the barge the bearing to the lighthouse is 63 degrees (12 km is the length of the side adjacent to the 63 degree bearing). How far is the lobster boat from the light house?

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
It forms a triangle
Letting x be the distance
EQUATION:
cos(63)=12/x
x=12/(c0s(63))
x=26.4
Hence, the lobster boat is 26.4 km fromm the light house.
Paul.