Explanation Given data: The distance traveled towards south is 0.8 mi . The distance traveled from east to Broadway is 0.8 mi then turns to 30 ° and drives 1.2 mi . Explanation: Initially, the girl start from point “ A ” and drives towards south, then she moves towards east and finally she moves in north direction with an angle of 30 ° as shown in Figure 1. Modify Figure 1 to find the distance of destination with respect to north and east side as shown in Figure 2. Find the value of DE . D E = ( 1.2 mi ) cos ( 30 ° ) = 1.039 mi Find the value of EC . E C = ( 1.2 mi ) sin ( 30 ° ) = 0.6 mi Modify Figure 2 to find the displacement as shown in Figure 3. Consider the right angled triangle ABC in Figure 3. Find the value of AC using Pythagoras theorem. A C = A B 2 + B C 2 Substitute 0

4th Edition

ISBN: 8220106755235

Author: Field

Publisher: PEARSON

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Chapter 1, Problem 36P

To determine

The total displacement of trip.

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