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Trigonometry problem

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Source: — Data Sufficiency |
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by 4GMAT_Mumbai » Wed Jun 30, 2010 7:57 pm
Hi,

I would rather that this is a geometry question (no trigonometry required).

Statement 1: To be able to visualize, drag the line WY such that the base Y coincides with Z. Now, one knows that if a>b; then, WY has to be longer than XZ. Is statement 1 sufficient? Yes

Statement 2: If a + b > 270; it does not give any clue as to whether a is greater than b or if a is lesser than b. For example, if a+b = 272; then, a could be 135 and b could be 137 (XZ is longer). Or a could be 137 and b could be 135 (WY is longer). Because of these contradictions, is statement 2 sufficient to answer the question? No

Hence, A

Hope this helps. Thanks.
Naveenan Ramachandran
4GMAT, Dadar(W) & Ghatkopar(W), Mumbai
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by pnk » Wed Jun 30, 2010 11:17 pm
Hi,

Great. OA is indeed A.

But can you elaborate your explanation for Statement 1 - somehow I am not able decipher that.

Thanks
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by mj78ind » Thu Jul 01, 2010 4:42 am
Stmt 1 a>b means WY will always be greater than XZ (by visualization, when a, b >90). Hence sufficient.

Stmt 2 a + b > 270, a could be 136 and b 135 or vice versa. In the former, WY > WX, in the latter not. hence insufficient.

Cheers

Good question though
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by dream700 » Thu Jul 01, 2010 5:00 am
hi pnk,

given is that a,b > 90 and and a > b.

So the lesser is a the more it will be towards right angle. and lesser will be the distance between the twwo ll lines....

condition 2 states that a + b > 270.

but it fails to tell the relation between a and b.

a = 120 and b = 150 then WY > XZ
OR
b = 120 and a = 150 then WY < XZ

Hence not SUFF

so the ans should be A.

Deutsch750
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