Posted by **Nick** on Thursday, September 17, 2009 at 9:36pm.

After flying for 15 min in a wind blowing 42 km/h at an angle of 20° south of east, an airplane pilot is over a town that is 42 km due north of the starting point. What is the speed of the airplane relative to the air?

- physics -
**MathMate**, Thursday, September 17, 2009 at 10:08pm
There are three vectors involved:

A. the flight vector as yet unknown.

B. The wind at 42 km/h at -20° with respect to the x-axis.

C. the resultant: (0,42) km. from the starting point.

Since the vectorial sum of A and B equals C, you can obtain A by adding C and -B, both of which are known.

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**Nick**, Thursday, September 17, 2009 at 10:45pm
i need more help

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**MathMate**, Friday, September 18, 2009 at 8:02am
You will need to know how to add and subtract vectors. Have you done that at school?

There are different methods, depending on what you have learned. It could be graphical by drawing directed arrows and joining them together in the right order. It could be by resolving the vectors into the x- and y-components.

We need to know more about what you are working on to provide more detailed help.

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