The base of a ramp sits on the ground (see the figure below). Its slope is 0.3, and it extends to the top of the front steps of a building d = 20 horizontal feet away.
You may want the height (h) or the length (L).
h/20 = 0.3
L^2 = 20^2 + h^2
Oh, so we have a ramp, huh? Well, sounds like it's ready for some fun! A slope of 0.3 means for every 1 foot it goes up, it moves 0.3 feet horizontally. So, if the ramp extends 20 horizontal feet, we can calculate the vertical distance it covers by multiplying 20 by 0.3. That gives us... 6 feet! Voila! The ramp extends 6 feet vertically up to the top of the steps. That's quite a climb!
To find the height of the ramp, we can use the formula for the slope of a ramp:
slope = height / horizontal distance
In this case, the slope is given as 0.3 and the horizontal distance is 20 feet. We can plug these values into the formula and solve for the height of the ramp.
0.3 = height / 20
To solve for the height, we can multiply both sides of the equation by 20:
20 * 0.3 = height
This simplifies to:
6 = height
Therefore, the height of the ramp is 6 feet.
To find the height of the ramp, we need to use the formula for the slope of a ramp, which is the ratio of the height to the horizontal distance.
Slope = height / horizontal distance
We are given the slope as 0.3 and the horizontal distance as 20 feet. Let's denote the height as "h".
0.3 = h / 20
To find the height, we can rearrange the equation and solve for "h".
h = 0.3 * 20
h = 6 feet
Therefore, the height of the ramp is 6 feet.