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| PAGE: 498 | SET: Exercises | PROBLEM: 54 |
The pilot’s final heading of 
miles per hour in a direction of due west.
The resultant velocity can be represented by vector 
The resultant velocity is the sum of the vector representing the initial course 
plotted by the pilot and the vector representing the wind 
.
Thus, 
.
Vector representing the wind .
The wind is blowing from the directed angle of 
with a velocity 
miles per hour.
Draw the figure for the situation.
Observe the figure, the wind is blowing at an angle of 
with the horizontal.
Component form of a vector 
is 
.
Here 
.
Magnitude of the wind is .
Substitute above result in .
Find the magnitude of .
Direction and the speed the pilot should set to achieve this resultant is 
.
Since lies in the third quadrant, then 
.
Thus, the pilot needs to plot a course of about 
miles per hour at a directed angle of 
.
Pilot needs to plot a course of about miles per hour at a directed angle of 
.
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