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M23-24

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If the area of a rectangle is 80, what is the angle between the diagonal of the rectangle and its longer side?


(1) The perimeter of the rectangle is 84

(2) The shorter side of the rectangle is 2
[Reveal] Spoiler: OA

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New post 16 Sep 2014, 01:19

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Re M23-24 [#permalink]

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New post 22 Mar 2015, 13:16
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I think this question is not helpful.
Understood that you can find the sides of the rectangle, but how do you find the ANGLE between the diagonal and the longer side of the rectangle, as the question stem asks?

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New post 23 Mar 2015, 03:30
KPMM07 wrote:
I think this question is not helpful.
Understood that you can find the sides of the rectangle, but how do you find the ANGLE between the diagonal and the longer side of the rectangle, as the question stem asks?


Finding the angles is not our aim. The aim is to determine whether we CAN find them.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: M23-24 [#permalink]

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New post 30 Jun 2015, 13:30
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Bunuel wrote:
KPMM07 wrote:
I think this question is not helpful.
Understood that you can find the sides of the rectangle, but how do you find the ANGLE between the diagonal and the longer side of the rectangle, as the question stem asks?


Finding the angles is not our aim. The aim is to determine whether we CAN find them.


Hello,
I have the same question. I am confused that how can we find the angle between the diagonal and the longest side by knowing the lengths and so chose E. Got your point but wanna know is there any way by which we can know the required angle.

Thanks :)

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Re: M23-24 [#permalink]

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New post 09 Jul 2015, 11:22
vik09 wrote:
Bunuel wrote:
KPMM07 wrote:
I think this question is not helpful.
Understood that you can find the sides of the rectangle, but how do you find the ANGLE between the diagonal and the longer side of the rectangle, as the question stem asks?


Finding the angles is not our aim. The aim is to determine whether we CAN find them.


Hello,
I have the same question. I am confused that how can we find the angle between the diagonal and the longest side by knowing the lengths and so chose E. Got your point but wanna know is there any way by which we can know the required angle.

Thanks :)



By using trigonometry.
in a right triangle(formed using diagonal)
Perpendicular/ base= 2/40= tanA
we can find A

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Re M23-24 [#permalink]

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New post 20 Feb 2016, 10:34
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I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. In the explanation it would be good to know how to mesure the angle in question, just in case a reverse scenario comes up on test day. Thank you

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Re M23-24 [#permalink]

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New post 02 Mar 2016, 17:28
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. I do not know how to get the angles with just the sides...

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Re M23-24 [#permalink]

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New post 25 Jul 2016, 11:57
Please explain how do we know that the required angle can be found with the help of length of sides?
I am of the opinion that there is no such relation between length of sides and angle that help us to find angles when sides are given, and to find sides when angles are give. Pls help understand this. Thanks

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New post 05 Aug 2016, 21:51
I think this is a high-quality question and I agree with explanation. Good one

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Re: M23-24 [#permalink]

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New post 06 Aug 2016, 00:19
Saurav Arora wrote:
Please explain how do we know that the required angle can be found with the help of length of sides?
I am of the opinion that there is no such relation between length of sides and angle that help us to find angles when sides are given, and to find sides when angles are give. Pls help understand this. Thanks

Angle can be calculated using trigonometry. As the two sides of triangle are 40 and 2, third side will be root of 40*40+2*2 and now angle will calculated using trigonometry formula.
The objective was to check whether we can calculate the angle or not. We don't need to calculate the exact value.

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Re: M23-24 [#permalink]

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New post 18 Aug 2016, 09:36
I don't think Trigonometry is under the GMAT syllabus. Is there any other explanation for finding angles? If so please explain.

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New post 25 Dec 2016, 07:23
I have never seen a mention of Trignometry in OG or anywhere else !! I think this is a real Poor Quality Qustion...

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New post 25 Dec 2016, 07:42
Bunuel wrote:
Omkar.kamat wrote:
I have never seen a mention of Trignometry in OG or anywhere else !! I think this is a real Poor Quality Qustion...


Where do you see the use if trigonometry in the solution?

Hi Bunuel,

I am confused, it's clearly asked what is the angle. By knowing the l and b how do we figure the angle between the length and diagonal w/o trigonometry ??

Omkar Kamat
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Re: M23-24 [#permalink]

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New post 25 Dec 2016, 07:43
Bunuel wrote:
KPMM07 wrote:
I think this question is not helpful.
Understood that you can find the sides of the rectangle, but how do you find the ANGLE between the diagonal and the longer side of the rectangle, as the question stem asks?


Finding the angles is not our aim. The aim is to determine whether we CAN find them.

It is clearly asked " What Is the angle"?? So shudnt we return a value in the answer ??

Omkar Kamat
When The Going Gets Tough, The Tough Gets Going !!

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New post 25 Dec 2016, 07:48
Omkar.kamat wrote:
Bunuel wrote:
KPMM07 wrote:
I think this question is not helpful.
Understood that you can find the sides of the rectangle, but how do you find the ANGLE between the diagonal and the longer side of the rectangle, as the question stem asks?


Finding the angles is not our aim. The aim is to determine whether we CAN find them.

It is clearly asked " What Is the angle"?? So shudnt we return a value in the answer ??

Omkar Kamat
When The Going Gets Tough, The Tough Gets Going !!


In data sufficiency problems that ask for the value of a quantity, the data given in the statements are sufficient only when it is possible to determine exactly one numerical value for the quantity. The actually finding the value is not necessary. The fact that we can find the value and that's it will be unique is enough.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: M23-24 [#permalink]

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New post 11 Feb 2017, 11:02
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I think this is good question:

This question tests the understanding of very basic concept:

Below ae the 3 ways in which we can draw a unique triangle :
1: 3 side lengths are known.
2: 2 sides and an angle are known.
3: 2 angle and a 1 side are known.

For 2 and 3 you need a specific angle. Check this http://www.mathwarehouse.com/triangle-calculator/online.php

Now this question satisfies 1st criteria. if there is only 1 triangle then there will be one unique combination of angles for that set of sides.

So Ans D

Thanks.

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Re: M23-24 [#permalink]

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New post 08 Apr 2017, 02:02
Hi Bunuel,

I found the lentgh of side but since they are 2 and 40 I thought we cant determine the angle. Now I got the point. I just wanna ask something to you. In geometry (generally) is it possible to find value of an angle if we know the lenght of the sides?

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Re: M23-24 [#permalink]

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New post 08 Apr 2017, 04:12
dyg wrote:
Hi Bunuel,

I found the lentgh of side but since they are 2 and 40 I thought we cant determine the angle. Now I got the point. I just wanna ask something to you. In geometry (generally) is it possible to find value of an angle if we know the lenght of the sides?


Yes, knowing the lengths of all the sides is enough to get the angels.
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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: M23-24   [#permalink] 08 Apr 2017, 04:12

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