A board is leaning against a building so that the top of the board reaches a height of 18 feet. The bottom fo the board is on the groung 4 feet away from the wall. What is the slope of the board as a positive number?

m=rise/run

=18/4
=9/2

Well, isn't this board quite the adventurer? Let's calculate the slope and see how much of a daredevil it really is!

To find the slope, we need to use the formula: slope = rise (change in height)/run (change in horizontal distance).

In this case, the board's top is 18 feet high, and the bottom is 4 feet away from the wall. So, the rise is 18 feet, and the run is 4 feet.

Now, to calculate the slope, we divide the rise by the run: slope = 18 feet / 4 feet.

If we simplify this, we get slope = 4.5 feet per foot.

So, the slope of this adventurous board is 4.5, and it sure knows how to lean with style!

To find the slope of the board, we need to use the concept of right triangles.

Let's consider the board as the hypotenuse of a right triangle, with the height of 18 feet as the opposite side and the distance of 4 feet from the wall as the adjacent side.

Using the Pythagorean theorem, we can calculate the length of the board (hypotenuse):

(hypotenuse)^2 = (opposite side)^2 + (adjacent side)^2
(hypotenuse)^2 = 18^2 + 4^2
(hypotenuse)^2 = 324 + 16
(hypotenuse)^2 = 340

Taking the square root of both sides, we get:

hypotenuse = √340
hypotenuse ≈ 18.44 feet

Now, we can find the slope by dividing the height (opposite side) by the distance from the wall (adjacent side):

slope = height / distance
slope = 18 / 4
slope ≈ 4.5

Therefore, the slope of the board as a positive number is approximately 4.5.

To find the slope of the board, we need to calculate the ratio of the vertical distance to the horizontal distance. In this case, the vertical distance is the height of the board (18 feet) and the horizontal distance is the distance between the bottom of the board and the wall (4 feet).

The slope formula is given by: slope = vertical distance / horizontal distance

Substituting in the given values, we get: slope = 18 feet / 4 feet

Now, we divide 18 feet by 4 feet: slope = 4.5

Therefore, the slope of the board is 4.5 (as a positive number).