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      Question

      A man looks at the reflection of the top of the

      lamp-post on the mirror that is 6.6 m away from the foot of the lamppost. The man’s height is 1.25 m and he is standing 2 m away from the mirror. Assuming that the mirror is placed on the ground, facing the sky and the man, and that the mirror and the lamp-post are in a same line, find the height of the lamp-post (in metres).
      A 4.28 Correct Answer Incorrect Answer
      B 4.45 Correct Answer Incorrect Answer
      C 3.97 Correct Answer Incorrect Answer
      D 4.13 Correct Answer Incorrect Answer

      Solution

      Let the height of the lamppost be h meters. Using the similar triangles property: ⇒ h = 6.6 × ⇒ h = 6.6 × 0.625 ⇒ h = 4.125 meters Since the closest option is 4.13, we round off to 4.13 meters. The height of the lamppost is 4.13 meters.

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