A logic problem by Mohammad Khaza

Logic Level 2

Look carefully at the information provided in the picture below. Can you find the height of the red bar in meters?


The answer is 8.

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2 solutions

E Koh
May 15, 2018

From green bar, it's clear that the height of vertical bar = 2/3 of uninterrupted shadow length

Therefore shadow of 6m of red bar indicates the height of 4m. The remaining red bar casts a direct 1:1 vertical projection on the wall.

Therefore total length = 4m + 4m = 8m.

thanks for posting a solution

Mohammad Khaza - 3 years ago
Noel Lo
Jul 25, 2018

The 4-metre shadow on the wall, when cast on the ground, will be 3 2 × 4 = 3 × 2 = 6 \dfrac{3}{2}\times 4=3\times 2=6 metres by proportion. So if the entire shadow of the red bar were cast on the ground, it would be 6 + 6 = 12 6+6=12 metres in length, which means its actual height is 2 3 × 12 = 2 × 4 = 8 \dfrac{2}{3}\times 12=2\times 4=\boxed{8} metres.

thanks for uploading a solution.

Mohammad Khaza - 2 years, 10 months ago

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