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In the figure attached herewith, the rectangle with side AE

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Manager
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In the figure attached herewith, the rectangle with side AE [#permalink] New post 20 Mar 2011, 21:40
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67% (01:36) correct 33% (01:00) wrong based on 9 sessions
In the figure attached herewith, the rectangle with side AE represents a flat roof on which is mounted a solar panel. The line segments AB and CD represent the panel, in two of its possible positions. How much longer is DE than BE ?

(1) CD is 24 meters long.

(2) BE is 12 meters long.
Plz explain your ways to tackle this problem.
[Reveal] Spoiler: OA

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Re: Triangles and ratio [#permalink] New post 20 Mar 2011, 22:10
bhandariavi wrote:
In the figure attached herewith, the rectangle with side AE represents a flat roof on which is mounted a solar panel. The line segments AB and CD represent the panel, in two of its possible positions. How much longer is DE than BE ?

(1) CD is 24 meters long.

(2) BE is 12 meters long.
Plz explain your ways to tackle this problem.


Lets see what all we already know.

We know that AB=CD as its the same panel.We also know that angle DEA is 90 degrees and hence angle BAE is 30 degrees and angle DCE is 45 degrees. We need to find DE-BE

Statement 1) says CD is 24 meters and hence AB is also 24 meters. We can find length of DE given DC and all the angles of the triangle by simple rule of a/SinA = b/SinB = c/SinC

Similarly, given AB and all the angles we can find length BE by simple rule of a/SinA = b/SinB = c/SinC

Hence, Statement 1 is sufficient

Statement 2) says BE = 12 meters. Now given BE and all the angles, we can find AB which is same as CD and given CD we can find DE and thus we can find DE - BE. Hence, sufficient.

Hence, answer is D.
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Re: Triangles and ratio [#permalink] New post 20 Mar 2011, 22:49
The answer is D.

The hypotenuse ( AB or CD) is same in both cases and you can find out the sides of a 45-90-45 right triangle as 1:sqrt(2):1 or a 30:90:60 as 1:2:sqrt(3), if you know one of the sides.

So here, you can always find DE and BE (BE is given in 2).
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Re: Triangles and ratio [#permalink] New post 20 Mar 2011, 23:42
Re: Triangles and ratio   [#permalink] 20 Mar 2011, 23:42
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In the figure attached herewith, the rectangle with side AE

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