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**babyangel1972****Member**- Registered: 2005-12-12
- Posts: 18

A light pole casts a shadow 22 feet long. A 6 foot man standing 10 feet from the base of the light pole cast a shadow of 12 feet. How tall is the light pole?

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

The ratio of height to shadow cast is always constant for anything. We are told that a 6ft. man casts a 12ft. shadow, so the ratio is 1:2.

Scaling this up to fit with the pole's 22ft. shadow gives 11:22, so the pole is 11ft. high.

Why did the vector cross the road?

It wanted to be normal.

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