Share
Explore BrainMass

Application of laws of cosine and sin rule

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?

Solution Preview

Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here. Thank you for using Brainmass.
===============================================================================

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

Solution Summary

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

$2.19