You will be hiking to a lake with some of your friends by following the trails indicated on a map at the trailhead. The map says that you will travel 5.30 miles directly north, then 6.01 miles in a direction 35.0 degrees east of north, then finally 1.10 miles in a direction 15.0 degrees north of east. Assume north to be +y and east to be +x. Find the direction of the displacement vector for the hike. Enter the answer as an angle north of east.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 49P
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You will be hiking to a lake with some of your friends by following the trails indicated on a map at the trailhead. The map says that you will travel 5.30 miles directly north, then 6.01 miles in a direction 35.0 degrees east of north, then finally 1.10 miles in a direction 15.0 degrees north of east. Assume north to be +y and east to be +x. 
Find the direction of the displacement vector for the hike. Enter the answer as an angle north of east.

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