A wall is 22 feet tall. A ladder is leaned against that wall. The top of the ladder touches the top of the wall and the bottom of the ladder rests on the ground 8 feet from the base of wall. What is the length of the ladder?

23.41 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the wall

Height of the wall (opposite) = 22 feet

Bottom of the ladder from the wall (adjacent) = 8 feet

What is the length of the ladder?

Length of the ladder (hypotenuse)

Using Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

= 22² + 8²

= 484 + 64

= 548

Hypotenuse ² = 548

Hypotenuse = √548

= 23.41 feet

The length of the ladder is 23.41 feet

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step-by-step explanation: