dora leaned a 94 foot ladder against the side of a building. The base of the ladder is 9 feet from the base of the building. The top of the ladder is 13 feet from the top of the building. How tall, to the nearest tenth of a foot is the building?

Respuesta :

Answer:

126.6 ft

Step-by-step explanation:

I've attached a picture.  Look at the right triangle.  A side is missing.  Use the Pythagorean Theorem to find it.

(leg)^2 + (leg)^2 = (hypotenuse)^2

[tex]x^2+9^2=94^2\\x^2+81=8836\\x^2=8755\\x=\sqrt{8755}\approx93.6[/tex]

The ladder touches the wall at a height of 93.6 ft.  Now add the 13 "extra" feet from the top of the ladder to the top of the building.

The building is 126.6 ft tall.

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