# trig

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?

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1. 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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posted by Reiny
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posted by 555

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