Quant Question Of The Day: 144
Geometry
A ladder leans against a wall. The top of the ladder is 11 ft above the ground. If the bottom of the ladder is then moved 1 ft away from the wall, the ladder will lie on the ground with its top touching the wall. How long is the ladder (in ft)?
1. 12
2. 13
3. 60
4. 61
Let x be the distance of the bottom of the ladder from the wall, then (x+1) is the length of the ladder which acts as hypotenuse of the right triangle. Thus (11, x, x+1) is a Pythagorean triplet, which is simply (11, 60, 61). Thus, required length of the ladder is 61 ft.
2 comments