SOLUTION: A 13 foot ladder is positioned against a wall so that the base of the ladder is 5 feet from the wall. How high is the top of the ladder above the ground?

Algebra.Com
Question 937370: A 13 foot ladder is positioned against a wall so that the base of the ladder is 5 feet from the wall. How high is the top of the ladder above the ground?
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
h = sqrt( aa + bb )
13 = sqrt( aa + 5*5 )
13^2 = ( sqrt( aa + 5*5 ) )^2
169 = aa + 25
aa = 169 - 25
a = sqrt( 169 - 25 )
a = 12
---
answer:
12 feet above the ground
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---

RELATED QUESTIONS

A 10-foot ladder is positioned against a wall. The Base of the ladder is 6 feet from the... (answered by jim_thompson5910,scarletedwitch)
The bottom of a 13-foot long ladder is placed 5 feet away from a wall so that the ladder... (answered by checkley71)
A 10-ft ladder leans against a wall so that the base of the ladder is 4 ft from the wall. (answered by jim_thompson5910)
A 13 foot ladder is leaned against a wall so that the ladder reaches a height of 12 feet... (answered by jim_thompson5910,nerdybill,richwmiller)
A 15-foot ladder is leaning against a wall. If the top of the ladder is 14.5 feet up the... (answered by mananth)
A 10 foot ladder is leaning against a vertical wall. The base of the ladder is 3 feet... (answered by nerdybill)
a 10 foot ladder is leaning against a verticle wall. the base of the ladder is 3 feet... (answered by uday1435)
Initially, a 25-foot ladder rests against a vertical wall such that the top of the... (answered by mananth)
please help me to solve the following word problem. A 20 foot ladder is leaned against a (answered by Alan3354,Theo)