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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?

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.
_________________

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.

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

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

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...

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

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.

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 When The Going Gets Tough, The Tough Gets Going !!

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 !!

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.
_________________

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.

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?

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.
_________________