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

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Math Expert
Joined: 02 Sep 2009
Posts: 62637
In the figure above, a student whose eyes are 6 feet above the ground  [#permalink]

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08 Oct 2019, 20:09
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25% (medium)

Question Stats:

74% (01:13) correct 26% (01:49) wrong based on 18 sessions

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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 [ 6.44 KiB | Viewed 316 times ]

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

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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:

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
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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