Look at the given picture, and the details given.

With the help of the given information, find the height of the 2nd pole.

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The published answer (16 m) is incorrect in my view…

If a 2 m pole casts a 3 m shadow, a 4 m pole will cast a 6 m shadow.

Hence, if the wall weren’t there, the 4 m shadow currently on wall would have cast a further 6 m long shadow.

Thus, the total length of the shadow of red pole would have been

= 6 + 6 = 12 m.

Hence, the height of red pole

= (2×12)/3 = 8 m.

Why is the shadow on the wall 12 meters long?

Use the 2:3 rule for the shadow too i.e. a 4m pole casts a 6m shadow, so an upright (90°) 8m shadow is in fact 12m parallel to the ground. It seems to be 8m cause it’s upright