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A flagpole stands perpendicular to the ground. At 1:45PM,the flagpole
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29 Feb 2024, 05:10
29 Feb 2024, 05:10
Expert Reply
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Question Stats:
75% (02:44) correct
25% (00:59) wrong based on 4 sessions
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A flagpole stands perpendicular to the ground. At 1:45PM,the flagpole casts a shadow on the ground that is 144 inches long. Mary, who is also standing perpendicular to the ground casts a shadow that is 1.5 yards long at 1:45PM. Mary is a 6 foot tall woman. Assume that the triangles created in both instances are similar.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The height of the flagpole |
192.5 inches |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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A flagpole stands perpendicular to the ground. At 1:45PM,the flagpole
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29 Feb 2024, 09:44
29 Feb 2024, 09:44
1
Given that the triangles are similar, the ratios of their corresponding sides are equal.
flagpole_mary.png [ 18.26 KiB | Viewed 1006 times ]
Convert Mary's height and shadow to inches, since the flagpole's shadow is given in inches.
Mary is 6 feet tall = 6 ft * 12 inches/ft = 72 in
Her shadow is 1.5 yards = 1.5 yards * 3 ft/yard * 12 in/foot = 54 in
The flagpole and Mary's height are corresponding sides, and their shadows are also corresponding sides.
Let x = the height of the flagpole.
\(\frac{x}{72} = \frac{144}{54}\)
\(54x = 144*54 = 10368\)
\(x = 192\)
Attachment:
flagpole_mary.png [ 18.26 KiB | Viewed 1006 times ]
Convert Mary's height and shadow to inches, since the flagpole's shadow is given in inches.
Mary is 6 feet tall = 6 ft * 12 inches/ft = 72 in
Her shadow is 1.5 yards = 1.5 yards * 3 ft/yard * 12 in/foot = 54 in
The flagpole and Mary's height are corresponding sides, and their shadows are also corresponding sides.
Let x = the height of the flagpole.
\(\frac{x}{72} = \frac{144}{54}\)
\(54x = 144*54 = 10368\)
\(x = 192\)
General Discussion
Re: A flagpole stands perpendicular to the ground. At 1:45PM,the flagpole
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29 Feb 2024, 09:48
29 Feb 2024, 09:48
Expert Reply
Great explanation 
