# Cosine Law

For the next three questions, choose which is the most appropriate method to solve the problem, explain your answer.
a) SOACAHTOA
b) The Sine Law
c) The Cosine Law
d) The problem cannot be solved without further information

1) Yachts in a race have to sail a triangular course. First they sale in a direction of 135 deg (clockwise from North) for 8km. They change direction and sail on a course of 045 deg (clockwise from north) The last part of the course is to return by sailing due West. How far was the second part of the course? ... The most appropriate method for solving this problem is:

2) In Triangle ABC, BA= 9cm, AC= 13cm, and <ABC= 113 deg. Calculate the measure of <BCA ... The most appropriate method for solving this problem is:

3) A pilot leaves base flying on a bearing of 340 deg. After 30 minutes he changes course to 108 deg and flies in this direction until he is due north of base. How far does he have to fly South to return to base? ... The most appropriate method for solving this problem is:

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1. you have ASA, so the final angle is easy to determine(it returned). I would use law of sines.

one the second, I would use law of sines.

this depends on his speed, which is not given.

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