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A 20 foot ladder is leaned against a house and the base of the ladder is 4 feet from the house. How far up does the ladder reach?

A 20 foot ladder is leaned against a house and the base of the ladder is 4 feet from the house How far up does the ladder reach class=

Respuesta :

Answer:

20.40 ft

Step-by-step explanation:

a^2 + b^2 = c^2 (right triangle) (sides of the triangle are the house and the distance from the base of the ladder to the house. The hypotenuse is the ladder.

20^2 + 4^2 = c^2

400 + 16 = c^2

C = sqrt 416

C = 20.40 ft

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