2. 外语
  3. In the figure above, segments represent two positions of the same ladder leaning against the side of a wall. The length of is

In the figure above, segments represent two positions of the same ladder leaning against the side of a wall. The length of is

admin2022-10-18  66
问题
In the figure above, segments represent two positions of the same ladder leaning against the side of a wall. The length of is how much greater than the length of
(1) The length of is 10 meters.
(2) The length of is 5 meters.
选项 A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案D
解析 Note that TV= RS because they both represent the length of the same ladder. Determine TV- RV.
(1)     It is given that TU= 10. Since △TVU is a 45°-45°-90° triangle, it follows that TV= . Since RS=TU= 10 and ARVS is a 30o-60°-90° triangle, it follows that RV= 5. Therefore, TV- RV can be determined; SUFFICIENT.
(2)     It is given that RV= 5. Then RS = 10 since △RVS is a 30°-60°-90° triangle. Since
RS = TU， it follows that TU= 10. This I the same information as in (1); SUFFICIENT.
The correct answer is D;
each statement alone is sufficient.
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