##### A plane is moving due north, directly towards its destination. Its airspeed is 2

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A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 20 mph. In which direction is the plane pointed?

Jun 18th, 2015

Draw travel path of plane  as line of 200 units towards North (upwards) on the paper. From the top of the line, draw wind flow  as a horizontal line at 90° angle of  20 units towards west (Leftwards).

Now connect the end point to starting point. The Hypotenuse of the triangle became the direction the plane Pointed .
Direction in terms of angle  can be find as follows :  sin x = 20/200  or sinx  = 0.1

or x = Sin^(-1) (0.1) = 5.7°  (Answer)

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Jun 18th, 2015

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Jun 18th, 2015
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Jun 18th, 2015
Sep 23rd, 2017
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