Question

A ladder that is 20 feet in length is resting on a branch of a tree, and the base of the ladder is 12 feet from the tree on the level ground. How high up is the branch on which the ladder is resting?​

Answer 1

56.57 rounded to the nearest hundredths

Explanation:

a^2 + b^2 = c^2

20^2 + x^2 = 60^2

400 to x^2 = 3600

x^2 = 3200 take the square root of each side.

x = 56.57 rounded to the nearest hundredths