A ladder is resting against a wall. the foot of the ladder is 8 feet from the wall, and the top of the ladder is 19 feet from the ground. FIND THE slope of the ladder
without either the length of the ladder or the height of the wall, there's no way to tell.
If the top of the ladder is directly above a point x feet from the base of the wall of height h, all we know is that
h/8 = 19/(x+8)
To find the slope of the ladder, we need to determine the ratio of the vertical change (rise) to the horizontal change (run). In this case, the vertical change is given as 19 feet, and the horizontal change is given as 8 feet.
The slope formula is:
slope = rise / run
Since the vertical change is the rise and the horizontal change is the run, we can substitute the values into the formula:
slope = 19 feet / 8 feet
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor (GCD), which in this case is 1:
slope = 19 / 8
Therefore, the slope of the ladder is 19/8.