A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km southeast, and then an additional distance in an unknown direction. Her final position is 5.80 km directly east of the starting point.(adsbygoogle = window.adsbygoogle || []).push({});

Find the magnitude of the third leg of the journey.

Find the direction of the third leg of the journey.

I found the magnitude of the third leg. My question is the third leg's direction. The direction in degrees must be expressed in degrees east of north. I do not exactly understand how I am to express it like that. All I know is that if one takes the arctan of the ratio of the third leg's y_component/x_component the answer is wrong.

Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Direction and Sailing

**Physics Forums | Science Articles, Homework Help, Discussion**