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Mathematics 16 Online
OpenStudy (anonymous):

Assume a plane is flying directly North at 200mph, and there is a wind blowing at 23mph. What is the velocity vector of the plane? I believe I remember that this requires me to make a right triangle with the two speeds as the legs, and find the hypotenuse. Just need confirmation that I'm doing it right.

jimthompson5910 (jim_thompson5910):

what is the direction of the wind?

OpenStudy (anonymous):

East

jimthompson5910 (jim_thompson5910):

|dw:1415666118583:dw|

jimthompson5910 (jim_thompson5910):

|dw:1415666140367:dw|

jimthompson5910 (jim_thompson5910):

without the wind, the plane flies straight north at 200 mph with the wind, it pulls the plane slightly to the right to get this vector |dw:1415666193873:dw|

jimthompson5910 (jim_thompson5910):

notice how this parallelogram forms (in this case, it's a rectangle) with the resultant vector as a diagonal |dw:1415666231220:dw|

jimthompson5910 (jim_thompson5910):

so yes, you need to find the hypotenuse |dw:1415666367659:dw|

OpenStudy (anonymous):

My thanks

jimthompson5910 (jim_thompson5910):

you're welcome

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