# Question of the Day

## Can you answer today's question?

Next Tests:
10/11 , 11/8

Oct
1
2014
6,655 responses
Number Answered 2,288 4,367
34% correct

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

Answer Choices

#### Hint

The wall and the ground meet at a right angle. When the ladder is placed against the wall, it creates a right triangle whose hypotenuse is feet long. At first, the bottom of the ladder is feet from the base of the building, so one leg of the right triangle is feet long. It is possible to find the length of the other leg by using the Pythagorean theorem.

# Question of the Day

## Can you answer today's question?

Next Tests:
10/11 , 11/8

Oct
1
2014
6,655 responses
Number Answered 2,288 4,367
34% correct

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

Answer Choices

#### Answer

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.