Henry Ernest Dudeney/Puzzles and Curious Problems/243 - The Squirrel's Climb/Solution

by : $243$

 * The Squirrel's Climb

Solution

 * $20$ feet.

Proof
In going $3$ feet around, the squirrel goes $4$ feet up.

These are the sides of the classic $3$-$4$-$5$ triangle.

Hence in going up $4$ feet, the squirrel travels $5$ feet.

Hence in going $16 = 4 \times 4$ feet, the squirrel travels $4 \times 5 = 20$ feet.