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Asked in PPSC, FPSC and other one-paper exams (compiled from unofficial resources).

A ladder makes an angle of $45^\circ$ with the ground when placed against a wall. If the foot of the ladder is $5$ m away from the wall, then the height of the wall is:

  1. A.$\frac{5}{\sqrt{2}}$ m
  2. B.$5\sqrt{2}$ m
  3. C.$10$ m
  4. D.$5$ mCorrect answer

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Quick fact: When the angle is $45^\circ$, the height of the wall equals the distance of the foot from the wall, so the height is $5$ m.

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