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.

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
Section: Chapter Questions
Problem 3.56AP: The rectangle shown in Figure P3.56 has sides parallel to the x and y axes. The position vectors of...
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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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