An 11-ft ladder leans against the side of a house. The bottom of the ladder is

8 ft
from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.

75.55.

You are using Pythagoras

x^2 + y^2 = h^2
8^2 + y^2 = 11^2
y^2 = 121 - 64 = ...
y = √... = ??

7.55 rather

I love you best friend

To determine how high the top of the ladder is from the ground, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms the hypotenuse of the right triangle, and the distance from the ladder's bottom to the house forms one of the legs. Let's call the height of the ladder "h" and the distance from the ladder's bottom to the house "d".

According to the problem, the distance from the ladder's bottom to the house (d) is 8 ft and the length of the ladder is 11 ft.

Using the Pythagorean theorem, we can write the equation:

(h)^2 = (d)^2 + (8)^2

Plugging in the values we know:

(h)^2 = (8)^2 + (8)^2

Simplifying the equation:

(h)^2 = 64 + 64

(h)^2 = 128

Next, we can solve for h by taking the square root of both sides:

h = √(128), which is approximately 11.3 ft (rounded to the nearest tenth).

Therefore, the top of the ladder is approximately 11.3 ft from the ground.

Yes.

i got 7.5