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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
The height of a tree is measured by means of a cross-staff as shown in
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20 Apr 2022, 13:18
20 Apr 2022, 13:18
Expert Reply
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Question Stats:
75% (02:33) correct
25% (02:42) wrong based on 4 sessions
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The height of a tree is measured by means of a cross-staff as shown in the figure above. The horizontal bar DE is adjusted up or down until points D, F, and B are in a straight line. Measured on level ground, DE is \(1\frac{1}{2}\) feet, EF is \(\frac{1}{2}\) foot, GE is 5 feet and GA is 60 feet. How tall is the tree?
A. \(20 \frac{1}{2}\) ft.
B. \(22\) ft.
C. \(24\) ft.
D. \(25\frac{1}{2}\) ft.
E. \(26\frac{1}{2}\) ft.
Re: The height of a tree is measured by means of a cross-staff as shown in
[#permalink]
22 Apr 2022, 02:40
22 Apr 2022, 02:40
1
Expert Reply
DE = 1.5 ft
EF = 0.5 ft
GE = 5 ft
GA = 60 ft
Notice that triangle DEF and triangle DBC are similar triangles.
\(\frac{DE}{EF} = \frac{DC}{BC} = \frac{1.5}{0.5} = \frac{61.5}{20.5}\)
\(20.5 + EG = 20.5 + 5 = 25.5 ft\)
Answer is D.
EF = 0.5 ft
GE = 5 ft
GA = 60 ft
Notice that triangle DEF and triangle DBC are similar triangles.
\(\frac{DE}{EF} = \frac{DC}{BC} = \frac{1.5}{0.5} = \frac{61.5}{20.5}\)
\(20.5 + EG = 20.5 + 5 = 25.5 ft\)
Answer is D.
gmatclubot
Re: The height of a tree is measured by means of a cross-staff as shown in [#permalink]
22 Apr 2022, 02:40
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