One day you go hiking at a nearby nature preserve. At first, you follow the straight, clearly marked trails. From your starting point, you travel 2.00 miles down the first trail. Then, you turn to your left by 30.0∘ to follow a second trail for 1.60 miles. Next, you turn to your right by 160∘ and follow a third trail for 2.00 miles. At this point, you are getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead you deeper into the woods. You would like to take a shortcut directly through the woods (ignoring the trails). How far should you walk, to go directly back to your starting point?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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One day you go hiking at a nearby nature preserve. At first, you follow the straight, clearly marked trails. From your starting point, you travel 2.00 miles down the first trail. Then, you turn to your left by 30.0∘ to follow a second trail for 1.60 miles. Next, you turn to your right by 160∘ and follow a third trail for 2.00 miles. At this point, you are getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead you deeper into the woods. You would like to take a shortcut directly through the woods (ignoring the trails). How far should you walk, to go directly back to your starting point?

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