Question

a car travels 6 km towards north at an angle of 45 o to the east and then travels distance of 4 km towards north at an angle 135 o to east. how far is the point from the starting point? what angle does the straight line joining its initial and final position makes with the east?
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Answer 1

Answer:

It travels 6 km along the direction OA which is towards north and the line of travel makes 45° to East. Then the car travels 4 km along AB towards north at an angle of 135° to East. As shown in figure, coordinate of final position of the car ( √2 km, 5√2 km ). BOA = tan-1(4/6) ≈ 34°

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