A roofer leaned a 16 foot ladder against a house. If the base of the ladder is 5 feet from the house how high up the house does the ladder reach?

Respuesta :

Answer:

 15.1 feet up the wall

Step-by-step explanation:

This is a Pythagorean theorem question

The ladder is the hypotenuse or c

the distance from the wall is a leg or a

and the wall is the other leg or b

a² + b² = c²

5² + b² = 16²

25  + b² = 256

-25            -25

          b² = 231

         √        √

         √b² = √ 231

           b = 15.1

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