One day, Sofia goes hiking at a nearby nature preserve. At first, she follows the straight, clearly marked trails. From the trailhead, she travels 2.00 miles2.00 miles down the first trail. Then, she turns 30.0 degrees to the left to follow a second trail for 1.10 miles. Next, she turns 160.0 degrees to her right to follow a third trail for 1.90 miles. At this point, Sofia is getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead her deeper into the woods. She would like to take a shortcut directly through the woods (ignoring the trails). What distance ?SC does she have to walk to take a shortcut directly back to her starting point?

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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One day, Sofia goes hiking at a nearby nature preserve. At first, she follows the straight, clearly marked trails. From the trailhead, she travels 2.00 miles2.00 miles down the first trail. Then, she turns 30.0 degrees to the left to follow a second trail for 1.10 miles. Next, she turns 160.0 degrees to her right to follow a third trail for 1.90 miles. At this point, Sofia is getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead her deeper into the woods. She would like to take a shortcut directly through the woods (ignoring the trails).

What distance ?SC does she have to walk to take a shortcut directly back to her starting point?

?SC= 
 
 

Through what angle ?SC should she turn to the right in order to take the shortcut directly back to her starting point?

?SC=
 
 

 

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