【SAT真题】2013年8月2日SAT官方每日一题

2013-08-03 09:00:00 来源: Collegeboard 责编：楷维留学指南

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2013年8月2日SAT考试官方每日一题

SAT真题类型： Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer.

A -foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on concrete feet from the base of the building. If the top of the ladder slips down feet, then the bottom of the ladder will slide out

A. feet

B. feet

C. feet

D. feet

E. feet

2013年8月2日SAT考试官方每日一题答案：E

解析：

The ladder, the wall, and the ground form a right triangle with a -foot hypotenuse. At first, the bottom of the ladder is feet from the base of the building, so one leg of the right triangle measures feet; the length of the other leg, , can be found by solving (7^2) + (x^2) = (25^2) , which is the Pythagorean theorem. From this, you can figure out that the other leg measures feet.

After the ladder slips down feet, the -foot leg of the right triangle becomes feet long. The other leg then has to be feet long. This length is found by solving (20^2) + (y^2) = (25^2) , which is again the Pythagorean theorem.