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Select the correct answerPoint A is 50 m to the west of Point B .Point C is 25m to the north of Point A .Point D is 20 m to the east of point C .Point D is exactly midway between points E and F in such a manner that point E.D and F form a vertical straight line of 50m .Point F is to the south of Point D .How far and in which direction is point F from point B?Options20m towards east30m towards east20 m towards west30 m towards west

Question

Select the correct answerPoint A is 50 m to the west of Point B .Point C is 25m to the north of Point A .Point D is 20 m to the east of point C .Point D is exactly midway between points E and F in such a manner that point E.D and F form a vertical straight line of 50m .Point F is to the south of Point D .How far and in which direction is point F from point B?Options20m towards east30m towards east20 m towards west30 m towards west

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Solution

The answer is 30m towards west.

Here's the step by step solution:

  1. Point A is 50m to the west of Point B. So, the distance between A and B is 50m.

  2. Point C is 25m to the north of Point A. This movement doesn't affect the east-west distance between points B and C (or any points on the line A-C-D-E-F).

  3. Point D is 20m to the east of Point C. So, the distance between B and D is now 50m (initial distance between A and B) - 20m (eastward movement from C to D) = 30m. D is to the west of B because we moved east from A to D.

  4. Point D is exactly midway between points E and F. This means E and F are also on the same vertical line as D, and thus doesn't affect the east-west distance between B and F.

  5. Therefore, Point F is 30m to the west of Point B.

This problem has been solved

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