# A car is driven east for a distance of 36 km, then north for 18 km, then 45degrees east of north for 20 km, and then in a direction 30degrees west of north for 30 km. Determine the angle(from east) of the car's total displacement measured from it's starting direction.

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A car is driven east for a distance of 36 km, then north for 18 km, then 45degrees east of north for 20 km, and then in a direction 30degrees west of north for 30 km. Determine the angle(from east) of the car's total displacement measured from it's starting direction.

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Step 1

Follow the instruction given in the question.

First, move 36 km in the east direction and then 18 km in the north.

Move by an angle of 45 degree  in the east of north direction for 20 km and then move at an angle of 30 degree in the west of north direction.

Step 2

In right triangle SEM, ap...

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