Question

A lighthouse is 14 miles east of a dock. A ship sails N33degreesE from the dock. What will be its bearing from the lighthouse after having sailed 10 miles?
After the 10 mile sailing, let the distance between boat and lighthouse be x

by the cosine law, you can find x
x^2 = 14^2+10^2 - 2(14)(10)cos57° , (90°-33°=57°)

Once you have x, you can find a second angle using the sine law, and voila!, easy after that.
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