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# The base of a 20-foot rope is 8 feet above the ground. If the rope is

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
The base of a 20-foot rope is 8 feet above the ground. If the rope is  [#permalink]

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18 Jan 2019, 00:14
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Difficulty:

25% (medium)

Question Stats:

68% (01:36) correct 32% (01:18) wrong based on 33 sessions

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The base of a 20-foot rope is 8 feet above the ground. If the rope is extended at a 60-degree angle, the top of the rope will be how many feet above the ground?

A 18
B 28
C 10√3
D 10√2 + 8
E 10√3 + 8

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GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The base of a 20-foot rope is 8 feet above the ground. If the rope is  [#permalink]

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18 Jan 2019, 06:42
Bunuel wrote:
The base of a 20-foot rope is 8 feet above the ground. If the rope is extended at a 60-degree angle, the top of the rope will be how many feet above the ground?

A 18
B 28
C 10√3
D 10√2 + 8
E 10√3 + 8

draw figure
base is 8 feet above ground , angle 60* subtended at base so rope is making 30:60:90 triangle
30 ; 10
so and 60 * = 10 sqrt 3
height of top of rope 10√3 + 8
IMO E
Intern
Joined: 12 Sep 2018
Posts: 27
Re: The base of a 20-foot rope is 8 feet above the ground. If the rope is  [#permalink]

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19 Jan 2019, 03:54
Archit3110 wrote:
Bunuel wrote:
The base of a 20-foot rope is 8 feet above the ground. If the rope is extended at a 60-degree angle, the top of the rope will be how many feet above the ground?

A 18
B 28
C 10√3
D 10√2 + 8
E 10√3 + 8

draw figure
base is 8 feet above ground , angle 60* subtended at base so rope is making 30:60:90 triangle
30 ; 10
so and 60 * = 10 sqrt 3
height of top of rope 10√3 + 8
IMO E

How do we know that the 6o° angle is formed between the rope and the ground and not the angle at the top of the rope?
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The base of a 20-foot rope is 8 feet above the ground. If the rope is  [#permalink]

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19 Jan 2019, 04:21
artiom01 wrote:
Archit3110 wrote:
Bunuel wrote:
The base of a 20-foot rope is 8 feet above the ground. If the rope is extended at a 60-degree angle, the top of the rope will be how many feet above the ground?

A 18
B 28
C 10√3
D 10√2 + 8
E 10√3 + 8

draw figure
base is 8 feet above ground , angle 60* subtended at base so rope is making 30:60:90 triangle
30 ; 10
so and 60 * = 10 sqrt 3
height of top of rope 10√3 + 8
IMO E

How do we know that the 6o° angle is formed between the rope and the ground and not the angle at the top of the rope?

artiom01
Please see solution attached

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Re: The base of a 20-foot rope is 8 feet above the ground. If the rope is   [#permalink] 19 Jan 2019, 04:21
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# The base of a 20-foot rope is 8 feet above the ground. If the rope is

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