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Rotating a square about a fixed point

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Intern
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Joined: 16 Feb 2016
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Rotating a square about a fixed point  [#permalink]

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New post 09 May 2017, 14:20
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ABCD is a square with length L units. E is mid point of AB. if square is fixed at point B and rotated anti clockwise 45 degrees, find : vertical distance travelled by point E and also the horizontal distance travelled by point E

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Joined: 02 Mar 2017
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Re: Rotating a square about a fixed point [#permalink]

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New post 09 May 2017, 20:02
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ashygoyal wrote:
Image

ABCD is a square with length L units. E is mid point of AB. if square is fixed at point B and rotated anti clockwise 45 degrees, find : vertical distance travelled by point E and also the horizontal distance travelled by point E

Kudos for the correct explanation

Sent from my Redmi Note 3 using GMAT Club Forum mobile app



When rotated anti clockwise 45 degrees the side makes same angle as that of the diagonal (45).
A isosceles right triangle is obtained whose diagonal is L/2.(E=L/2)
The length of side will give vertical distance
1:1:\sqrt{2} ----->ratio
hence vertical height equals L/2\sqrt{2}

Horizontal distance equals L/2- L/2\sqrt{2}
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Re: Rotating a square about a fixed point [#permalink]

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New post 11 May 2017, 02:05
ashygoyal wrote:
Image

ABCD is a square with length L units. E is mid point of AB. if square is fixed at point B and rotated anti clockwise 45 degrees, find : vertical distance travelled by point E and also the horizontal distance travelled by point E

Kudos for the correct explanation

Sent from my Redmi Note 3 using GMAT Club Forum mobile app


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Re: Rotating a square about a fixed point   [#permalink] 11 May 2017, 02:05
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