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Mathematics 17 Online
OpenStudy (anonymous):

A 12 foot flagpole casts a 9 foot shadow what is the measurement from the top of the shadow to the top of the flagpole? 15 21 3 6

OpenStudy (richyw):

\[a^2+b^2=c^2\]|dw:1367610015689:dw|

OpenStudy (richyw):

a=12, b=9

OpenStudy (richyw):

so now solve for c \[c=\sqrt{a^2+b^2}\]

OpenStudy (anonymous):

21?

OpenStudy (richyw):

nope

OpenStudy (richyw):

how did you get that?

OpenStudy (anonymous):

idk i am really bad at math sorry

OpenStudy (anonymous):

i am more of a history person

OpenStudy (richyw):

alright well you have\[c=\sqrt{12^2+9^2}\]\[c=\sqrt{225}\]

OpenStudy (richyw):

this can easily be solved in your head if you divide everything by 3 first, then you have a 5,4,3 triangle, so you know that \(\frac{c}{3}=5\) and c=15

OpenStudy (richyw):

but if you know sqrt{225} then you can directly calculate it

OpenStudy (nubeer):

|dw:1367610537766:dw|

OpenStudy (anonymous):

ok that makes seance

OpenStudy (nubeer):

|dw:1367610621804:dw| now apply the formula richyw told.

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