Need to use a ladder to reach a window that is 8 meters above the ground. The base of the ladder will be 6 meters from base of the building. How long must the ladder be?
What is sqrt(6^2+8^2) ?
your teacher is too easy.
To find the length of the ladder, we can use the Pythagorean theorem, which states that in a right-angled 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 acts as the hypotenuse, the distance from the base of the ladder to the building acts as one side, and the height of the window acts as the other side.
Let's call the length of the ladder "L".
According to the problem, the distance from the base of the ladder to the building is 6 meters, and the height of the window is 8 meters.
Using the Pythagorean theorem, we can write the equation as:
L^2 = (6^2) + (8^2)
Simplifying this equation, we get:
L^2 = 36 + 64
L^2 = 100
To solve for L, we take the square root of both sides:
L = √100
L = 10
Therefore, the ladder must be 10 meters long in order to reach the window that is 8 meters above the ground with a base of 6 meters from the building.