Cheater B.

asked • 03/07/21# LAW OF SINES AND COSINES

**The sailing club leaves the marina on a heading N15**^{o}**E and sails for 18 miles. They then change course, and after traveling for 12 miles on a heading N35**^{o}**E, they experience engine trouble and radio for help. The marina sends a speed boat to rescue them. **

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## 1 Expert Answer

Mark M. answered • 03/07/21

Mathematics Teacher - NCLB Highly Qualified

Draw and label a diagram with all given angles and all angles that can be determined.

The angle of the turn is 160°

Law of Cosine

d^{2} = 18^{2} + 35^{2} - (2)(18)(35) cos 160°

Bearing by Law of Sine

sin a / 35 = sin 160° / d

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Cheater B.

Law to be applied ? Approximate the measure of the other remaining angle? How far should the speed boat go? What is the measure of the included angle? What is the square of the distance from the port to the current location of the ship?03/07/21