SOLUTION: A 12 foot ladder is six feet from a wall. How high on the wall does the ladder touch?
Algebra.Com
Question 464044: A 12 foot ladder is six feet from a wall. How high on the wall does the ladder touch?
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"A 12 foot ladder is six feet from a wall. How high on the wall does the ladder touch?"
A right triangle is formed, which you can use the Pythagorean Theorem on.
Pythagorean Theorem is a² + b² = c²
a and b are the legs and c is the hypotenuse {side across from right angle}
a² + b² = c² {Pythagorean Theorem}
a² + 6² = 12² {substituted into the Pythagorean Theorem}
a² + 36 = 144 {squared the 6 and 12}
a² = 108 {subtracted 36 from both sides}
a = √108 {took square root of both sides}
a ≈ 10.39 ft
For more help from me, visit: www.algebrahouse.com
RELATED QUESTIONS
A 12 foot ladder is six feet from the wall. How high on the wall does the ladder... (answered by ankor@dixie-net.com)
if a foot ladder is six feet from a wall. How high on the wall does the ladder... (answered by checkley77)
A 12 foot ladder is three and a half feet from a wall. How high on the wall does the... (answered by rfer)
A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9... (answered by ewatrrr)
A 12 ft ladder is 6 ft from a wall. how high on the wall does the ladder touch? Im new to (answered by jojo14344)
The base of a 16ft ladder is 4ft from a wall. How high on the wall does the ladder... (answered by checkley77)
what is the answer to this pythagorean theoream word problem "the bottom of a ladder must (answered by Alan3354)
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How (answered by ikleyn)
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long.... (answered by mananth)