How about you try one of these, and show how far you get?
Use the law of cosines for this one.
Two planes take off from the same airport at the same time using different runways. One plane travels on a bearing S14 degrees W at 350 miles per hour. The other plane travel on a bearing N75 degrees E at 300 miles per hour. How far are the plane from each other 2 hours after takeoff?
2 answers
Given: AB = 300 m/h[75o]CW
AC = 350mi/h[94o]CW
AB = 600mi[75o]CW. BA = 600mi[75+180]CW
BC = BA+AC = 600mi[255o]CW+700mi[94o]
BC = (600*sin255+700*sin94)+(600*cos255+700*cos94)i
BC = 119-204i = 236[-30.3] = 236mi[330o]CW. = distance bet. planes.
AC = 350mi/h[94o]CW
AB = 600mi[75o]CW. BA = 600mi[75+180]CW
BC = BA+AC = 600mi[255o]CW+700mi[94o]
BC = (600*sin255+700*sin94)+(600*cos255+700*cos94)i
BC = 119-204i = 236[-30.3] = 236mi[330o]CW. = distance bet. planes.
1 answer