A 14 FOOT LADDER IS LEANING AHAINST A BUILDING WITH THE BASE OF THE LADDDER 5 FEET FROK THE BUILDING HOW HIGH UP ON THE BUILDING WILL THE TOP OF THR LADDEE REACH?

Pythagorean Theorem:

a^2 + b^2 = c^2

5^2 + b^2 = 14^2

25 + b^2 = 196

b^2 = 171

b = 13.08

To find out how high up on the building the top of the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem 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 ladder is the hypotenuse, and the distance from the building to the base of the ladder is one of the other two sides.

Given:
Length of the ladder (hypotenuse) = 14 feet
Distance from the building to the base of the ladder = 5 feet

Using the Pythagorean theorem, we can set up the equation:

(hypotenuse)^2 = (side1)^2 + (side2)^2

Substituting the known values:

14^2 = 5^2 + (side2)^2

Simplifying:

196 = 25 + (side2)^2

Subtracting 25 from both sides:

171 = (side2)^2

Taking the square root of both sides:

√171 = side2

To find out how high up on the building the top of the ladder will reach, you need to take the square root of 171.

Using a calculator, we find that √171 is approximately 13.08.

Therefore, the top of the ladder will reach approximately 13.08 feet high on the building.