Ladders

Problem of the Week - July 04, 2022


Ladders Image

A 6-foot wide alley has both walls perpendicular to the ground. Two ladders, one 10 feet long, the other 12 feet, are propped up from opposite bottom corners to the adjacent wall, forming an X shape. All four feet of each ladder are firmly touching either the bottom corner or the opposite wall. The two ladders are side by side and also touching each other at the intersection of the X shape. What is the distance from the point of intersection straight down to the ground?

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