Question

A ladder is placed against a wall. It is 10 feet up the wall and the base of the ladder is placed 8 feet away from the wall. What is the height of the ladder on the wall?

Answer 1

To find the height of the ladder on the wall, we can use the Pythagorean theorem. The height of the ladder on the wall is 6 feet.

Step-by-step explanation:

To find the height of the ladder on the wall, we can use the Pythagorean theorem. Let's call the height of the ladder on the wall 'h'. The base of the ladder forms the base of a right triangle, with the ladder itself being the hypotenuse.

We can use the equation a^2 + b^2 = c^2, where 'a' is the height of the ladder on the wall, 'b' is the distance of the base from the wall (8 ft), and 'c' is the length of the ladder.

So, h^2 + 8^2 = 10^2

Simplifying the equation, we get h^2 + 64 = 100

Subtracting 64 from both sides, we get h^2 = 36

Taking the square root of both sides, we get h = 6 ft

Therefore, the height of the ladder on the wall is 6 feet.