In mathematics, the bearing is an angle measured in degrees in a clockwise direction from the north line. This means that the angle's vertices are one line pointing north and another pointing to your point of interest. Calculating an angle from a bearing is a straightforward process; all you need is a compass and a protractor. However, if you are using a map depicting the cardinal directions, you can omit the compass. Success in this task depends on your knowledge of using the compass and the protractor appropriately.
Place the compass on a steady surface. Allow the magnetic needle to stabilize and gently rotate the compass until the needle points to the north. Form a line parallel to the needle on a paper with the help of a ruler.
Form a line parallel to the needle on a paper with the help of a ruler. If you are using a map, draw a line beginning from your spot and pointing north with a pencil. This is the first vertex of your angle.
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Draw the second vertex, starting from the bottom end of the first line and pointing towards your point of interest.
Place the middle point of the protractor's flat side -- easily distinguishable on every protractor -- right on the angle. Align the straight line of the protractor on the north-pointing vertex and measure the angle.
When measuring bearings, angles of less than 100 must have one or two zeros in front, to give a three-figure number. For example, the bearing of a point can be 045 degrees or 008 degrees.
Remember that the bearing is the angle measured clockwise. This means that if you have a vertex pointing west, this means your angle is reflex -- greater than 180 degrees.