Maths Challenge #5 – Après–le–Ski
The little-known Alpine village of Après-le-Ski is situated in a deep mountain valley with vertical cliffs on both sides. The cliffs are 600 metres high on one side and 400 metres high on the other. A cable runs from the foot of each cliff to the top of the other cliff, and the cables are perfectly straight.
At what height above the ground do the two cables cross?
(Picture not to scale)