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The figure represents the design
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04 Jun 2021, 10:27
04 Jun 2021, 10:27
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Question Stats:
60% (02:32) correct
39% (02:41) wrong based on 28 sessions
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The figure represents the design of a drawbridge that spans a channel 54 meters in width. If the two raisable sections are equal in length and overlap each other by a measure of 2 meters, what will be the clearance width of the bridge in meters, when the sections are raised to an angle of 60 degree ?
A) 25
B) 26
C) 27
D) 28
E) 54
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: The figure represents the design
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04 Jun 2021, 10:31
04 Jun 2021, 10:31
3
Carcass wrote:
The figure represents the design of a drawbridge that spans a channel 54 meters in width. If the two raisable sections are equal in length and overlap each other by a measure of 2 meters, what will be the clearance width of the bridge in meters, when the sections are raised to an angle of 60 degree ?
A) 25
B) 26
C) 27
D) 28
E) 54
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
The two raisable sections are equal in length and overlap each other by a measure of 2 meters
The bridge spans a distance of 54 meters.
So, if both sections were 27 meters long, there would be no overlap.
Since the sections overlap by 2 meters, we know that each section is 28 meters long.
So, our diagram looks like this:
If we draw vertical lines from the tips of each section, you see that we have special 30-60-90 triangles hiding in our diagram.
In the each of the right triangles, the hypotenuse has length 28
So, the lengths of the sides opposite the 30 degree angles must be 14.
To find the value of x, we can write the following equation: 14 + x + 14 = 54
Simplify: x + 28 = 54
Subtract 28 from both sides of the equation to get: x = 26
Answer: B
Cheers,
Brent
Re: The figure represents the design
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31 Dec 2021, 02:13
31 Dec 2021, 02:13
Sir, shouldn't the length of the bridge be 29 instead of 28. They are overlapping by 2 meters not one.
