Brain Teaser: A Sliding Ladder
A 25 ft ladder (assume it is not an extension ladder) is placed with its foot 7 ft away from a building. If the top of the ladder slips down 4 ft, how many feet will the bottom slide out?
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answer for sliding ladder : it will move 15-7=8 ft
15 ft
The bottom of the ladder will slide out 8 feet (from 7 feet initially to 15 feet).
bottom will move 8 feet from its original position (total of 15 feet from building wall)
wall height sqrt(25^2-7^2)=24ft
(7+x)^2=25^2- (24-4)^2
x=8ft bottom slides out
Is the answer, the ladder will slide out 8 feet?