Camila needs to fix the window on the front of her house. The bottom of the window is 16 ft. from the ground. She only has a 20 ft. ladder. How far from the base of the house should she set up the ladder so that the top of the ladder is exactly at the bottom of the window?(1 point)

Question

ft.

THE ANSWER IS NOT 4!

Answer 1

To solve this problem, we can use the Pythagorean theorem. The ladder acts as the hypotenuse of a right triangle, with the distance from the base of the ladder to the house as one leg, and the distance from the house to the bottom of the window as the other leg.

Let's call the distance from the base of the ladder to the house "x".

According to the problem, the distance from the bottom of the window to the ground is 16 ft. The distance from the bottom of the window to the base of the ladder can be found by subtracting 16 ft from the length of the ladder. So, it would be (20 ft - 16 ft) = 4 ft.

Using the Pythagorean theorem, we have:

x^2 + 4^2 = 20^2

Simplifying:

x^2 + 16 = 400

Subtracting 16 from both sides:

x^2 = 384

Taking the square root of both sides:

x =~19.6

So, she should set up the ladder approximately 19.6 ft from the base of the house.

Answer 2

The correct answer is indeed 12 Ft.