That is

**13 km west-northwest of the start**.

The distance is computed using the Pythagorean theorem. We recognize the triangle as a 5-12-13 triangle, so we can use that knowledge to write the answer without recomputing it.

The person is 12 km west and 5 km north of the starting position.

That is**13 km west-northwest of the start**.

The distance is computed using the Pythagorean theorem. We recognize the triangle as a 5-12-13 triangle, so we can use that knowledge to write the answer without recomputing it.

That is

The distance is computed using the Pythagorean theorem. We recognize the triangle as a 5-12-13 triangle, so we can use that knowledge to write the answer without recomputing it.

I'm familiar with the 3 x 4 x 5 right triangle, but I have never come across the 5-12-13 triangle to be able to recognize it as a 90 degree triangle.

So I started by using Oddman's graph and realizing that the displacement is 2*(2.5^w + 6^2)^1/2 or 13km.

Then, by using the tangent, the angle of the displacement from the origin (the east-west line) is approximately 22 degrees.

West-northwest is defined as:

The

direction or point on the mariner’s compass halfway between due west and

northeast, or 67 degrees, 30 minutes west of due north.

The distance between north and west is 90 degrees. 90-67 = 23, so that verifies the compass heading to be "west-northwest" of the starting point.

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