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07 Oct 2022, 03:00
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
72% (01:07) correct
28%
(01:38)
wrong
based on 54
sessions
History
Date
Time
Result
Not Attempted Yet
As the figure shown above, the taller tree is 30 feet high and has a 40 feet shadow. What is the height of the shorter tree?
(1) The shorter tree has a 22 feet shadow.
(2) The distance between two trees is 18 feet.
Attachment:
2022-09-02_20-15-49.png [ 7.99 KiB | Viewed 1655 times ]
07 Oct 2022, 05:17
Kudos
Bookmarks
Bunuel
Solution:
Pre Analysis:
- We are given a tree 30 feet high casting a 40 feet shadow
- We are given a shorter tree x feet high
- We are asked the value of x
Statement 1: The shorter tree has a 22 feet shadow
- Accoroding to this statement, we can make the following measurements in the diagram Attachment:
GC6.png [ 4.76 KiB | Viewed 1239 times ]
- In the above diagram, triangle BCA and DEA are clearly similar and we can say \(\frac{EA}{CA}=\frac{DE}{BC}\) or \(\frac{22}{40}=\frac{x}{30}\) to get the value of \(x\)
- Thus, statement 1 alone is sufficient and we can eliminate options B, C and E
Statement 2: The distance between two trees is 18 feet
- Same as statement 1
- Thus, statement 2 alone is also sufficient
Hence the right answer is Option D
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