A Ladder leans against a 15 foot tall building to form a right angle. The ladder is placed so it is 8 feet from the base of the building. What is the length of the ladder?

Pythagoras says:

L^2 = h^2 + b^2 = 225 + 64

It's a right triangle.

15 is the height.
The width of the triangle is 8 feet.
There is the information that we know.
So, 15*8/2=60.
Do you see where I'm going with this?

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?

a^2 + b^2 = c^2
a^2 + 12^2 = 20^2
a^2 + 144 = 400
a^2 = 256
a = 16

I had to solve this question today. It's close to your question so you can use this as an example on how to solve.

hope you got 17 :)

i GOt 17

Atta go :)

16 12cm

To find the length of the ladder, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length 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 height of the building represents one side of the right triangle, the distance from the base of the building to the ladder represents the other side, and the length of the ladder represents the hypotenuse.

Let's denote the height of the building as 'a', the distance from the base to the ladder as 'b', and the length of the ladder as 'c'. According to the Pythagorean theorem, we have the equation:

a^2 + b^2 = c^2

Plugging in the given values, we have:

15^2 + 8^2 = c^2

225 + 64 = c^2

289 = c^2

To find 'c', we need to find the square root of both sides:

c = √289

c = 17

Therefore, the length of the ladder is 17 feet.