Joe climbs a 5 foot ladder to the top of a slide. Find the length of the slide, to the nearest hundredth, if the distance from the base of the ladder to the bottom of the slide is 9 feet.
Note: The ladder forms a right angle with the ground.
A. 7.48 ft.
B. 8.43 ft.
C.10.30 ft.
D.11.45 ft.
I think it is C or D. But, im leaning on C.
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OpenStudy (anonymous):
Nnesha (nnesha):
use pythagorean theorem
Nnesha (nnesha):
\[\huge\rm a^2 + b^2 = c^2\]
Nnesha (nnesha):
c is a big side always which is hypotenuse|dw:1422570433200:dw|
so replace b by 9 and a by 5
then solve for x
Nnesha (nnesha):
solve for c**
not x i made typo there
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OpenStudy (anonymous):
I would do 5^2 + 9^2 = c^2 ?
Nnesha (nnesha):
yes right now oslve
Nnesha (nnesha):
solve*
OpenStudy (anonymous):
106 = c^2
Would i divide?
Nnesha (nnesha):
nope you have to take square root both side
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OpenStudy (anonymous):
Multiply 106 by 106?
Nnesha (nnesha):
|dw:1422570675521:dw|
when you take square root c square cancel out with square root