Question

22 foot ladder is placed against a vertical wall of building with the bottom of the ladder standing on level ground 9 feet from the base of the building how high up the wall does the ladder reach

Answer 1

20.1 feet

Explanation:

We solve the above question using the Pythagoras Theorem

The Pythagoras Theorem =

Opposite² + Adjacent ² = Hypotenuse²

From the above question,

Opposite side = Height of the wall = x

Adjacent side = Distance from the base of the building = 9 feet

Hypotenuse = Length of the ladder = 22 feet

Hence:

x² + 9² = 22²

x² = 22² - 9²

x = √22² - 9²

x = √403

x = 20.0748599 feet

Approximately = 20.1 feet

Therefore, the height of the wall = 20.1 feet