Henry walks 20 km west forgot his coat, so he turns and heads 13 km east. He decided to go another path to make up for the lost time and travels 30 km south and then moves west for 27 km. Calculate Henry's displacement.

Question

Henry walks 20 km west forgot his coat, so he turns and heads 13 km east.  He decided to go another path to make up for the lost time and travels 30 km south and then moves west for 27 km.  Calculate Henry's displacement.

Henry · Answer

D = -20 + 13 - 30i - 27 = -34 - 30i tan Ar = -30/-34 = 0.88235 Ar = 41.42o = Reference angle. A = 41.42 + 180 = 221.4o D = -34/cos221.4 = 45.3km[221.4o].