# Question of the Day

## Can you answer today's question?

Next Tests:
10/11 , 11/8

http://sat.collegeboard.org/practice/sat-question-of-the-day
Oct
1
Number Answered 17,641 32,767
50,408 responses
34% correct
See Last Thirty Questions:

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

# Right-o!

### Explanation

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 , 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 , which is again the Pythagorean theorem.

Since the distance between the bottom of the ladder and the base of the building increases from feet to feet, the amount that the bottom of the ladder slides out is feet.

Want to brush up on your skills? Just visit our Practice Questions area.

#### Buy Together, Get \$10 Off

##### Online Course

The online course includes explanations and auto essay scoring for the Study Guide's 10 practice tests.

#### The Official Study Guide for All SAT Subject Tests™:  Second Edition

Get ready for test day with a brand new edition of our best-selling SAT Subject Test Study Guide! Brought to you by the test-maker, this is the ONLY study guide with actual, previously administered tests for all 20 SAT Subjects Tests™ to provide you with the real test-taking experience.

See Inside