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?
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.