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cure | https://session.masteringengineering.com/myct/mastering#/assigr MasteringEngineering MasteringComputerScience: Vector and Trigonometry R a Secure https://session.masteringengineering.com/myct/itemView P C Vector and Trigonometry Review Three-Step Processes of Geometric and Vector Addition Part A brother and sister are playing in the woods, when suddenly the brother realizes that they are separated. The last place he remembers seeing his sister is at a particularly large tree. The brother traveled di = 23.5 m at 30.00 from the tree then turned and traveled d2 = 10.5 m at 2 1340 . Meanwhile, the sister traveled da 18.5 m at an angle of 3 111° from the tree. The angles are given with respect to east with counterclockwise being defined as positive Usin relat Figu Expr coun Vie Figure 1) Figure 1 of 2 dp Part B This n Szpa Part c This pe here to searchExplanation / Answer
d1 = (23.5 Cos30) i + (23.5 Sin30) j = 20.4 i + 11.75 j
d2 = (10.5 Cos134) i + (10.5 Sin134) j = - 7.3 i + 7.6 j
Net displacement is given as
d = d1 + d2 = 20.4 i + 11.75 j - 7.3 i + 7.6 j = 13.1 i + 19.4 j
magnitude : sqrt((13.1)2 + (19.4)2) = 23.4 m
direction : tan-1(19.4/13.1) = 56 degree
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