Posted by **Jacqueline** on Saturday, September 20, 2008 at 11:00pm.

A scout troop is practicing its orientation skills with a map and compass. First they walk east for 1.2km. Next, they walk 45degrees west of north for 2.7km. In what direction must they walk to go directly back to their starting point? How far will they have to walk?

- Physics -
**drwls**, Saturday, September 20, 2008 at 11:34pm
The vector to the final location from the starting point has components of 1.2 - 2.7 sin 45 = -0.709 km in the east direction and 2.7 sin 45 = 1.909 in the north direction. The direction they must walk back is the reverse of that vector. You can use the ratio of the two components to get the tangent of the angle.

The distance is the hypotenuse, sqrt[(0.709)^2 + (1.909)^2] = 2.04 km

- Physics -
**Jacqueline**, Saturday, September 20, 2008 at 11:49pm
thank you SO much!

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