SOLUTION: Solve and illustrate the problem. Thank you.t The bearing of a lighthouse 19.2km from a boat sailing due west is N35°15'W. At the end of 3hours the boat is directly south of the l

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Solve and illustrate the problem. Thank you.t The bearing of a lighthouse 19.2km from a boat sailing due west is N35°15'W. At the end of 3hours the boat is directly south of the l      Log On

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Question 982332: Solve and illustrate the problem. Thank you.t
The bearing of a lighthouse 19.2km from a boat sailing due west is N35°15'W. At the end of 3hours the boat is directly south of the lighthouse. What is the speed of the boat?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Since 15'=%2815%2F60%29%5Eo=0.25%5Eo , 35°15'=35.25%5Eo
The boat goes from point A to point B in 3 hours
The right triangle in the illustration tells us that the distance from A to B is
%2819.2km%29%2Asin%2835.25%5Eo%29=about11.08km .
That makes the speed of the boat
11.08km%2F%223+hours%22=3.7%22km+%2F+h%22 (rounded).