Geometry - center of ceiling to farthest pt in a room - The Beat The GMAT Forum

Geometry - center of ceiling to farthest pt in a room

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goalevan: Master | Next Rank: 500 Posts; Posts: 111; Joined: Tue Dec 30, 2008 1:25 pm; Location: USA; Thanked: 28 times; GMAT Score:770

by goalevan » Sat Jan 10, 2009 5:00 pm

Can anybody give me the answer for this fairly simple problem?

I'm coming up with 16, but I must be missing something because this isn't an available choice. Maybe there was a mistype in the book... it's from Manhattan's GMAT Guide.

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Source: Beat The GMAT — Problem Solving | Sat Jan 10, 2009 5:00 pm

logitech: Legendary Member; Posts: 2134; Joined: Mon Oct 20, 2008 11:26 pmFollowed by: 25 members; Thanked: 237 times; GMAT Score:730

Re: Geometry - center of ceiling to farthest pt in a room

by logitech » Sat Jan 10, 2009 5:08 pm

so the height = x = 12

then you have 12 - 8 rectangle in the bottom the mid point has a triangle with sides 12/2 and 8/2 = 6 and 4

so the diagonal is is SQRT(6^+4^2) = SQRT(52)

the closest distance is than the right angle triangle with sides SQRT(52) and 12

Answer is SQRT [ SQRT(52) ^2 + 12^2] = SQRT196 = 14

I dont think this question is "fairly" simple by the way

You have to know your space geometry and play with a rectangular box during your spare time

LGTCH
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"DON'T LET ANYONE STEAL YOUR DREAM!"

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kanha81: Master | Next Rank: 500 Posts; Posts: 431; Joined: Sat Jan 10, 2009 9:32 amFollowed by: 1 member; Thanked: 16 times

Diagram for understanding

by kanha81 » Sat Jan 10, 2009 7:13 pm

Logitech,

Grateful, if you can please include a rough sketch or diagram for understanding purposes. I would really appreciate that, especially with the geometry problems. I have a hard time grasping the concepts.

Best regards.

Want to Beat GMAT.
Always do what you're afraid to do. Whoooop GMAT

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logitech: Legendary Member; Posts: 2134; Joined: Mon Oct 20, 2008 11:26 pmFollowed by: 25 members; Thanked: 237 times; GMAT Score:730

Re: Diagram for understanding

by logitech » Sat Jan 10, 2009 7:52 pm

kanha81 wrote:Logitech,

Grateful, if you can please include a rough sketch or diagram for understanding purposes. I would really appreciate that, especially with the geometry problems. I have a hard time grasping the concepts.

Best regards.

Sure thing. Let me know if you still have doubts.

Attachments

LGTCH
---------------------
"DON'T LET ANYONE STEAL YOUR DREAM!"

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goalevan: Master | Next Rank: 500 Posts; Posts: 111; Joined: Tue Dec 30, 2008 1:25 pm; Location: USA; Thanked: 28 times; GMAT Score:770

by goalevan » Sat Jan 10, 2009 8:44 pm

Having recently started my studying, for some reason I had thought sqrt(196) was equal to 16. I have forgotten more than I expected! Thank you Logitech, really appreciate the help.

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