For 100 points
A man is walking towards East with a velocity of 8 km/h. wind is blowing toward northeast at angle of 45°. to the man wind appears to blow of angle of 60° north of west-
•Find true velocity of wind
•Find velocity of wind with respect to man.
Answers
A vector’s direction can be expressed using several different methods. In the
diagram of AB, it is expressed as an angle, moving counterclockwise with respect
to a horizontal line. In navigation, vector directions are expressed as bearings.
A true bearing (or azimuth bearing ) is a compass measurement where the
angle is measured from north in a clockwise direction.
True bearings are expressed as three-digit numbers,
including leading zeros. Thus, north is a bearing of 000°,
east is 090°, south is 180°, and west is 270°. For example,
a bearing of 040° is an angle of 40° in a clockwise
direction from due north. For simplicity, we will use the
word bearing to refer to a true bearing.
040°
N
Directions can also be expressed using a quadrant
bearing , which is a measurement between 0° and
90° east or west of the north-south line. The quadrant
bearing N23°W is shown in the diagram.
S
23°
N
W E
A quadrant bearing always has three components: the
direction it is measured from (north in this case), the angle
(23°), and the direction toward which it is measured (west).
The quadrant bearing N23°W is read as 23° west of north, whereas S20°E is
read as 20° east of south. All quadrant bearings are referenced from north or
south, not from west or east.
Explanation:
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