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A 12-foot ladder is leaning against a wall. The bottom of the ladder is 5 feet away from the bottom of the wall.

Approximately how high up the wall does the top of the ladder reach?

Respuesta :

Answer:

10.9 units

Step-by-step explanation:

Let the hight of the wall be " x ".

( Height = x )

Here,

12 foot ladder is the hypotenuse side.

( Hypotenuse = 12 )

5 feet away is the base side.

( Base = 5 )

Formula : -

Height² + Base² = Hypotenuse²

x² + 5² = 12²

x² + 25 = 144

x² = 144 - 25

x² = 119

x = √119

x = 10.9 approximately

Therefore,

High up the wall does the top of the ladder reach is 10.9 units.

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