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In the figure above, a student whose eyes are 6 feet above the ground

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In the figure above, a student whose eyes are 6 feet above the ground  [#permalink]

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New post 08 Oct 2019, 20:09
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In the figure above, a student whose eyes are 6 feet above the ground and 8 feet from a vertical flagpole views the top of the flagpole at a 30-degree angle of elevation. What is the height, in feet, of the flagpole?

A. \(6+8 \sqrt{3}\)

B. \(14\)

C. \(\frac{16}{\sqrt{3}}\)

D. \(6+ \frac{8}{\sqrt{3}}\)

E. \(10\)

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#greprepclub In the figure above, a student whose eyes are 6 feet above the ground.png
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Re: In the figure above, a student whose eyes are 6 feet above the ground  [#permalink]

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New post 09 Oct 2019, 08:33
from given fig we have 30:60:90 ∆
so side of flag pole 30 * = 8/√3
so height of flag pole\(6+ \frac{8}{\sqrt{3}}\)
IMO D


Bunuel wrote:
Image
In the figure above, a student whose eyes are 6 feet above the ground and 8 feet from a vertical flagpole views the top of the flagpole at a 30-degree angle of elevation. What is the height, in feet, of the flagpole?

A. \(6+8 \sqrt{3}\)

B. \(14\)

C. \(\frac{16}{\sqrt{3}}\)

D. \(6+ \frac{8}{\sqrt{3}}\)

E. \(10\)

Attachment:
#greprepclub In the figure above, a student whose eyes are 6 feet above the ground.png
GMAT Club Bot
Re: In the figure above, a student whose eyes are 6 feet above the ground   [#permalink] 09 Oct 2019, 08:33
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In the figure above, a student whose eyes are 6 feet above the ground

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