giving medals!!!
A painter is going to paint the trim of a window located 18 feet from the ground. If the base of the ladder is placed 9 feet from the side of the house, how long does the ladder need to be to reach the window?
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OpenStudy (johnweldon1993):
|dw:1405725721599:dw|''Looks like a right triangle and we want to use the pythagorean theorem to solve for the hypotenuse
OpenStudy (anonymous):
a2 + b2=c2?
OpenStudy (johnweldon1993):
Correct
OpenStudy (anonymous):
405??
OpenStudy (juanpablojr):
18*18+9*9=c^2 square root the answer and bam should be right...
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OpenStudy (johnweldon1993):
Well remember you want the square root of that...
OpenStudy (johnweldon1993):
\[\large c = \sqrt{a^2 + b^2}\]
OpenStudy (anonymous):
20.12?
OpenStudy (johnweldon1993):
There we go!
OpenStudy (anonymous):
but whats that in sq root
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OpenStudy (johnweldon1993):
What do you mean? That would be our result
\[\large 20.12 ft\]
OpenStudy (anonymous):
thats not one of my choices though
OpenStudy (anonymous):
a.9
b. sq root 9 over 5
OpenStudy (anonymous):
c.27
OpenStudy (anonymous):
d. 9 sq root 3
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OpenStudy (johnweldon1993):
None of those are correct
\[\large c = \sqrt{18^2 + 9^2} = \sqrt{324 + 81} = \sqrt{405} = 9\sqrt{5} \]
OpenStudy (anonymous):
thank you!
OpenStudy (aum):
BTW, if you multiply 9 * sqrt(5) you will get your earlier answer of 20.12 in decimal.