A 30-foot ladder is leaning against a building. The base of the ladder is
18 feet from the side of the building. How high does the ladder reach along the side of the building?

The ladder reaches ___ feet high on the building.

A 30foot ladder is leaning against a building The base of the ladder is 18 feet from the side of the building How high does the ladder reach along the side of t class=


Answer :

The ladder reaches 24 feet high on the building.

How high does the ladder reach along the side of the building?

The given parameters are:

Length of ladder (l) = 30 feet

Base of the ladder (b) = 18 feet

The height (h) of the ladder on the wall of the building is calculated as

h^2 =l^2 - b^2

This gives

h^2 = 30^2- 18^2

Evaluate

h^2 = 576

Take the square rots

h = 24

Hence, the ladder reaches 24 feet high on the building.

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