SOLUTION: If you place a 80-foot ladder against the top of a 64-foot building, how many feet will the bottom of the ladder be from the bottom of the building?

Algebra.Com
Question 1148851: If you place a 80-foot ladder against the top of a 64-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Found 2 solutions by rothauserc, MathTherapy:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
This problem can be modeled with a right triangle whose hypotenuse is 80 feet, one side is 64 feet, and the distance from the bottom of the building is side x
:
Apply the Pythagorean Theorem for a right triangle
:
64^2 +x^2 = 80^2
:
x^2 = 80^2 -64^2 = 6400 - 4096 = 2304
:
take square root of both sides of =
:
x = 48
:
*******************************************************************
The bottom of the ladder is 48 feet from the bottom of the building
*******************************************************************
:
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

If you place a 80-foot ladder against the top of a 64-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
This represents one of the PYTHAGOREAN TRIPLES, namely: (3-4-5), but TIMES 16.

This results in sides: (48-64-80), so missing side is? 

RELATED QUESTIONS


A 24-foot
ladder is placed against a building.
 If the top of the
ladder slips down 3... (answered by tommyt3rd)

A 45-foot ladder is leaning against the top of building. The bottom of the ladder is 27... (answered by vleith)

jules needs to purchase a ladder that reaches the top of a 16-foot building. if the... (answered by richwmiller)

A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from... (answered by nerdybill)

THIS IS THE MOST IMPORTANT QUESTION ON MY HOMEWORK AND I JUST CAN'T FIGURE IT OUT!!!... (answered by scott8148)

A ladder is leaning against a building. The distance from the bottom of the ladder to the  (answered by Paul)

A 25-foot ladder reaches 24 feet up the side of building. Then the top of the ladder... (answered by mananth)

A 25-foot ladder leaning against a building touches the wall 16 feet above the ground.... (answered by jim_thompson5910)

a 15 foot ladder leaning against a building touches the wall 12 feet above the ground.... (answered by tommyt3rd,Alan3354)