Points L and M are equidistant from another point K. The bearing of L from K is 330°. The bearing of M from K is 220°. Calculate the bearing of M from L.
To calculate the bearing of M from L, we need to determine the angle that LM makes with respect to the north direction.
First, let's visualize the problem by drawing a diagram.
1. Draw point K in the center.
2. Draw line KL extending in the direction of bearing 330° from K.
3. Draw line KM extending in the direction of bearing 220° from K.
4. Mark a point P where lines KL and KM intersect.
Now, we need to find the bearing of M from L.
5. Draw a line from L to M.
6. Locate point Q on this line such that KQ is perpendicular to LM.
To find the bearing of M from L, we need to find the angle QKL.
The bearing from K to L is 330°. In a compass, the north direction corresponds to 0° or 360°, and the angles increase in a clockwise direction.
To find the angle QKL:
1. Start at point K and rotate clockwise by 330° to reach L. This gives us an angle of 330°.
2. Subtract the bearing of M from K from the angle obtained in step 1 to get the required angle. In this case, 330° - 220° = 110°.
Therefore, the bearing of M from L is 110°.