Question

If you place a 38-foot ladder against the top of a 25-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answer 1

To find the distance from the bottom of the ladder to the bottom of the building, use the Pythagorean theorem.

Step-by-step explanation:

To find the distance from the bottom of the ladder to the bottom of the building, 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 is the hypotenuse, and the two sides are the height of the building and the distance from the bottom of the ladder to the bottom of the building.

Using the Pythagorean theorem, we have:

Substituting the given values, we have:

(25^2) + (x^2) = (38^2)

(625) + (x^2) = (1444)

Simplifying the equation:

x^2 = 1444 - 625

x^2 = 819

Taking the square root of both sides:

x ≈ √819 ≈ 28.6 feet

Answer 2

If you are on delta math its 28.6

Step-by-step explanation: