Question

PLEASE QUICKLY HELP 100 POINTS!!!

A building meets the ground at a right angle. The top of a 10-foot ladder is placed against the bottom edge of a window in the building, and the base of the ladder is placed 6 feet from where the building meets the ground. How far up from the ground is the bottom edge of the window? Type the correct answer in the box. Use numerals instead of words.

The distance from the ground to the bottom edge of the window is ___
feet.

Answer 1

8 ft

Explanation:

to determine the distance from the ground to the bottom edge of the window, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ladder) is equal to the sum of the squares of the other two sides.

Let's denote the distance from the ground to the bottom edge of the window as 'x.'

According to the problem, the ladder is 10 feet long and is placed 6 feet from where the building meets the ground. Using the Pythagorean theorem, we have:

x^2 + 6^2 = 10^2

x^2 + 36 = 100

x^2 = 100 - 36

x^2 = 64

Taking the square root of both sides:

x = √64

x = 8

Therefore, the distance from the ground to the bottom edge of the window is 8 feet.

Answer 2

8 ft

Explanation:

Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Hypotenuse is length of ladder

One leg of the right triangle is the distance from the building

10^2 = 6^2 + x^2

x^2 = 100 - 36

x^2 = 64

x = 8