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In the figure above, line AC represents a seesaw that is

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In the figure above, line AC represents a seesaw that is [#permalink] New post 03 Oct 2006, 04:34
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A
B
C
D
E

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Question Stats:

42% (01:48) correct 58% (01:02) wrong based on 58 sessions
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In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?

(1) x = 30
(2) Point B is 5 feet above the ground.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 29 Nov 2013, 01:25, edited 1 time in total.
Edited the question and added the OA.
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 [#permalink] New post 03 Oct 2006, 05:41
20. In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?
(1) x = 30
(2) Point B is 5 feet above the ground.

A & B are unsufficient.

Combining

Sin 30(degree) = 5/AB
so AB can be determine and hence AC, since AC=2AB.

If we draw a perpendicula from line A which touches point C and call that point (on line A) D.

So, Sin 30 = AD/2AB
Answer is C.
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 [#permalink] New post 04 Oct 2006, 14:59
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Answer is B.
Statement 2 alone is suff.
lets say: BA= x
then CA = 2x (since B is the mid point of CA)
Triangle ACD(D is the point where the perpendicular dropped from C touches the ground) is similar to triangle ABE(E is the point where the perpendicular dropped from C touches the ground).
Therefore x/5=2x/z
or z=10
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 [#permalink] New post 04 Oct 2006, 15:21
This one had me stumped. But, B it is, as others have explained before.
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 [#permalink] New post 05 Oct 2006, 00:03
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It is B.
Apply property of similar triangles.........
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Last edited by cicerone on 25 Sep 2008, 00:30, edited 1 time in total.
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 [#permalink] New post 05 Oct 2006, 20:13
Gud explanation 800_gal...

Thanks for that..hahaa..completely forgot about the similar triangles properties...gotto revise it now...
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Re: In the figure above, line AC represents a seesaw that is [#permalink] New post 28 Nov 2013, 13:57
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Raghavender wrote:
20. In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?
(1) x = 30
(2) Point B is 5 feet above the ground.


Is there anyway someone can put the picture on the problem so we don't have to open it every time?

Much appreciated!
Cheers
J :)
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Re: In the figure above, line AC represents a seesaw that is [#permalink] New post 29 Nov 2013, 01:25
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jlgdr wrote:
Raghavender wrote:
20. In the figure above, line AC represents a seesaw that is touching level ground at point A. If B is the midpoint of AC, how far above the ground is point C?
(1) x = 30
(2) Point B is 5 feet above the ground.


Is there anyway someone can put the picture on the problem so we don't have to open it every time?

Much appreciated!
Cheers
J :)

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Re: In the figure above, line AC represents a seesaw that is   [#permalink] 29 Nov 2013, 01:25
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