Mathematics · Challenge

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Ladder against a wallRunning
Right-triangle rig. Reach up the wall at 1.44 m. Ladder span 5.2 m, Ladder length 13 m. Currently ladder span is short by 7.797 m.TUNINGBASELADDER SPAN5.2 m1.44 M
t = 0.0s

Ladder span

5.2m

Ladder length

13m

1.44 m

Right-triangle rig. Reach up the wall at 1.44 m. Ladder span 5.2 m, Ladder length 13 m. Currently ladder span is short by 7.797 m.

What has to balancea2+b2=c2a^2 + b^2 = c^2

What is happening

You take control of a painter setting a ladder to a safe angle against a wall.

The ladder is 13 m long and its foot must stand 5 m out from the wall. The reach up the wall has been guessed and the top is short of the gutter.