Question

A ladder that is 55 meters in length is resting on a branch of a tree, and the base of the ladder is 33 meters from the tree on the level ground. How high up is the branch on which the ladder is resting?

Answer 1

the diagram of situation is given as follows

so by using the right-angle property.

`x^2+33^2=55^2`
`\begin{gathered} x^2=3025-1089=1936 \\ x=\sqrt[]{1936} \end{gathered}`
`x=44`

so the height of the tree is 44