Question

hiking a damaged compass points northwest instead of north. if you travel west by the compass, what is your angle of rotation to true north? clockwise or counterclockwise

Explanation:

Step1: Analyze the compass directions

A standard compass has 360 degrees. The angle between each main - direction (N, E, S, W) is 90 degrees. The northwest direction is halfway between north and west.

Step2: Calculate the angle from west to true north

If we consider the compass where the "false north" is northwest. The angle from west to (false) northwest is 45 degrees. To get from west to true north, we need to rotate 135 degrees clockwise (because from west to east is 180 degrees, and from west to true north is 180 - 45=135 degrees clockwise) or 225 degrees counter - clockwise (360 - 135 = 225 degrees).

Answer:

135, 225