The compass of an airplane indicates that it is headed due north and its airspee

Question

The compass of an airplane indicates that it is headed due north and its airspeed indicator shows that it is moving through the air at 240 km/hr. If there is a wind of 100 km/hr from west to east. (Hint: in this problem there is no need to convert to m/s)

a) Draw an appropriate diagram and determine the velocity of the plane relative to the earth?

--I got the velocity of the plane relative to the earth as 260 km/hr and I got the diagram, however need to know the angle it creates for this problem.


b) What direction should the pilot head to travel due north and what then will be her velocity relative to the earth?



**Please show how to work!

Explanation / Answer

from the diagram v(p//E) and angle are given by v(p//E) = ( 240 km/h)2 - ( 100 km/h)2             = 218 km/h the angle = sin-1 ( 100 km/h/ 240 km/h)                   = 250 the pilot should point the air plane 250 west of north and her ground speed is 218 km/h the pilot should point the air plane 250 west of north and her ground speed is 218 km/h

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