GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A photographer is using a bipod to steady his camera while t
[#permalink]
01 Sep 2020, 04:00
01 Sep 2020, 04:00
4
Expert Reply
2
Bookmarks
00:00
Question Stats:
61% (01:33) correct
38% (01:47) wrong based on 84 sessions
Hide Show timer Statistics
Attachment:
GRE A photographer is using a bipod to.png [ 22.22 KiB | Viewed 4148 times ]
A photographer is using a bipod to steady his camera while taking pictures, as shown in the figure above. The legs of the bipod are 5 feet long and are currently 6 feet apart. If he pulls the legs another 2 feet apart (1 foot on each side), the top of the bipod drops x feet.
Quantity A |
Quantity B |
1 |
x |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Retired Moderator
Joined: 20 Aug 2020
Posts: 49
Given Kudos: 0
Re: A photographer is using a bipod to steady his camera while t
[#permalink]
01 Sep 2020, 08:10
01 Sep 2020, 08:10
1
Carcass wrote:
Attachment:
The attachment GRE A photographer is using a bipod to.png is no longer available
A photographer is using a bipod to steady his camera while taking pictures, as shown in the figure above. The legs of the bipod are 5 feet long and are currently 6 feet apart. If he pulls the legs another 2 feet apart (1 foot on each side), the top of the bipod drops x feet.
Quantity A |
Quantity B |
1 |
x |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
[b]Remind the following steps to solve a Geometry question.
1. Write down all conditions given in a question.
2. If we don't have any clue at step 1, we should try to find out any proper adjoint lines.[\b]
In this question, the heights are their adjoint lines.
The triangle with the base \(5\) is the height \(4\) and the triangle with the base \(4\) has the height \(\sqrt{21}\) from Pythagorean Theorem, since we have \(5^2 = 2^2 + \sqrt{21}^2\) and \(5^2 = 3^3 + 4^2\).
Then we have \(x = \sqrt{21} - 4\).
Since we have \(4 = \sqrt{16} < \sqrt{21} < \sqrt{25} = 5\), we have \(0 < x = \sqrt{4} < 5 - 4 = 1\) or \(x < 1\).
Therefore, A is the right answer.
Attachments
triangles.png [ 20.94 KiB | Viewed 3978 times ]
Re: A photographer is using a bipod to steady his camera while t
[#permalink]
10 Sep 2020, 00:20
10 Sep 2020, 00:20
4
Initially height is sqrt(5^2 - 3^2) = 4
Finally height is sqrt(5^2 - 4^2) = 3
h1-h2 = x =1
Hence C is correct
Finally height is sqrt(5^2 - 4^2) = 3
h1-h2 = x =1
Hence C is correct
