Kayla walked 4 kilometers due east before turning left and walking 2.5 kilometers due north. She turned again and returned to her starting point by walking a straight path. What was the angle of the last turn? Round to the nearest degree.

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coreioue coreioue

12-09-2017
Mathematics

contestada

Kayla walked 4 kilometers due east before turning left and walking 2.5 kilometers due north. She turned again and returned to her starting point by walking a straight path. What was the angle of the last turn? Round to the nearest degree.

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Kalahira Kalahira · Answer 1 · 2017-09-25T22:52:12+02:00

Kayla walks a path with a triangle shape with three corners, starting point A, point where turns north, B, and point where head towards start, C. The question is calculate the angle in the point C, knowing that A-B distance is 4 km and B-C is 2.5 To do this calculation we are going to use the trigonometry function tangent: tangent C = opposite/adjacent = 4/2.5 = 1.6 Then C angles is: C = arctan (1.6) = 57.99Âş So the solution is round to 58Âş