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Application of laws of cosine and sin rule

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At 1:00pm Jill left home traveling 45mph on a bearing of N 40 degrees W. At 1:30pm John left traveling 50mph on a bearing of S 75 degrees W.

A) Illustrate the positions of Jill and John at 3:00pm. (I calculated that Jill would be 90 miles away and John would be 75 miles away)

B) Find the measure of the angle between their routes. I calculated this angle to be 65 degrees. Is this correct?

C) find the distance between the positions of Jill and John at 3:00pm. Round answer to tenths. I calculated this to be 89.6 miles. Is this correct?

D) In your illustration, clearly sketch the bearing angle from John's position to Jill's position. I wasn't sure about this one can you help?

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Solution Summary

Bearing angle, laws of cosine and sin rule has been used in solving several problems in geometry.

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At 1:00pm Jill left home traveling 45mph on a bearing of N 40 degrees W. At 1:30pm John left ...

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