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.
The image of a star is projected onto a planetarium wall by
[#permalink]
13 Sep 2020, 08:26
13 Sep 2020, 08:26
Expert Reply
00:00
Question Stats:
61% (01:16) correct
38% (01:43) wrong based on 36 sessions
Hide Show timer Statistics
The image of a star is projected onto a planetarium wall by a projector that sits atop a vertical 4-foot stand. If the projector is directed 30 degrees above the horizontal, and the image appears 16 feet above the level floor of the planetarium, then, in feet, how far is the projector from the wall?
A. \(12 \sqrt{2}\)
B. \(12 \sqrt{3}\)
C. \(16 \sqrt{2}\)
D. \(16 \sqrt{3}\)
E. \(24\)
A. \(12 \sqrt{2}\)
B. \(12 \sqrt{3}\)
C. \(16 \sqrt{2}\)
D. \(16 \sqrt{3}\)
E. \(24\)
Re: The image of a star is projected onto a planetarium wall by
[#permalink]
29 Sep 2020, 10:32
29 Sep 2020, 10:32
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Re: The image of a star is projected onto a planetarium wall by
[#permalink]
29 Sep 2020, 22:04
29 Sep 2020, 22:04
2
we need to find BC from the figure (here P-projector
W-wall)
from triangle PBC
tan30=(4/AB)
AB=4√3
from triangle AWC
tan30=(16/AC)
AC=16√3
now BC=AC-AB=16√3-4√3=12√3
option B is correct
W-wall)
from triangle PBC
tan30=(4/AB)
AB=4√3
from triangle AWC
tan30=(16/AC)
AC=16√3
now BC=AC-AB=16√3-4√3=12√3
option B is correct
Attachments
quan.jpg [ 16.01 KiB | Viewed 2560 times ]
