Answer to Question #4356 in Geometry for Brian

Question

A monkey is chained to a stake in the ground. The stake is 2.83 m from a vertical pole, and the chain is 4.11 m long. How high can the monkey climb up the pole?

Answer 1

A monkey is chained to a stake in the ground. The stake is 2.83 m from a vertical pole, and the chain is 4.11 m long. How high can the monkey climb up the pole?

Let's use Pythagoras' theorem:

H = (4.11^2-2.83^2)^(1/2) =& 2.98 (m)

So, monkey can climb 2.98m high.