# The ladder

We have a ladder of length 3m and want to lean it on a wall.

But a cubic box of side 1m prevents of arranging the ladder as one wants.

What maximum height can be reached ? (with the foot of the ladder on the ground, of course,

A "solution" with the ladder on the box to reach height 1m+3m is rejected)

Solution

Calculations

#### With a barrel

Same question but the box is replaced by a barrel with 1m diameter

Solution
Calculations