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Mathematics 16 Online
OpenStudy (kkbrookly):

Help please

OpenStudy (kkbrookly):

The angle between the heading and course of a ship is called the angle of drift. Find the angle of drift of an airplane with air speed 240 km/hr on heading 90 degrees in a 65 km/hr wind in the direction 0 degrees. Find the ground speed of the airplane.

jimthompson5910 (jim_thompson5910):

|dw:1430537373807:dw|

jimthompson5910 (jim_thompson5910):

"airplane with air speed 240 km/hr on heading 90 degrees" |dw:1430537384117:dw|

jimthompson5910 (jim_thompson5910):

|dw:1430537428613:dw| "in a 65 km/hr wind in the direction 0 degrees"

jimthompson5910 (jim_thompson5910):

|dw:1430537461241:dw|

jimthompson5910 (jim_thompson5910):

|dw:1430537489862:dw|

jimthompson5910 (jim_thompson5910):

what is x?

OpenStudy (kkbrookly):

248.646

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

so without the wind, the plane would travel 240 km/hr with the wind's help, the plane is actually travelling 248.646 km/hr

jimthompson5910 (jim_thompson5910):

and it drifts towards the northeast direction to actually fly north, the plane would have to aim in the northwest direction to have the resultant vector be true north |dw:1430538749242:dw|

jimthompson5910 (jim_thompson5910):

of course, it's exaggerated so you can see the difference in the vectors but often the difference is so small I don't think it's easily noticeable

OpenStudy (kkbrookly):

I see

OpenStudy (kkbrookly):

That makes sense

OpenStudy (kkbrookly):

Is the ground speed the speed without the wind?

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