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PAGE: 490 | SET: Exercises | PROBLEM: 51 |

miles per hour at a bearing of
.
miles per hour at a bearing of
.
Draw a diagram to represent and
using a scale of
.
Observe the diagram :
The angle created by and
- axis is
.
Draw a horizontal where the tip of and the tail of
meet, as shown in above figure.
makes a
angle and
makes a
angle with the horizontal.
Thus, the angle created by and
is
.
Draw the resultant .
The three vectors form a triangle.
Use the law of cosines to find the magnitude of .
Law of cosines : .
Use the law of sines to find the angle opposite of .
Therefore, the angle opposite of is about
.
To find the bearing of , subtract
from
.
Thus, the direction of is a bearing of
.
Since the equilibrant vector is the opposite of resultant vector, it will have a magnitude of about at a bearing of about
.
The magnitude of the quilibrant vector is about at a bearing of about
.

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