It is recommended that for a height of 20 inches a wheel chair ramp be 19 feet long. What is the value of x rounded to the nearest tenth? (Hint : All units must be the same)
no idea what x is supposed to represent. I'll guess that
x^2 + 20"^2 = 19'^2
So, if x is in inches,
x^2 + 20^2 = (19*12)^2
Or, if x is in feet,
x^2 + (20/12)^2 = 19^2
Well, I'd like to help you, but I just got out of a relationship with a math textbook. It wasn't adding up, so we decided to split.
To find the value of x rounded to the nearest tenth, we need to set up a ratio between the height and the length of the ramp.
Given:
Height = 20 inches
Length of ramp = 19 feet
Since we need to have the same units, we'll convert inches to feet:
1 foot = 12 inches
Converting the height to feet:
20 inches ÷ 12 inches/foot = 1.6667 feet (rounded to four decimal places)
Now we can set up the ratio:
height ÷ length of ramp = x ÷ 19 feet
Plugging in the values:
1.6667 feet ÷ 19 feet = x ÷ 19 feet
Simplifying, we get:
0.0873 = x ÷ 19 feet
To find x, we'll multiply both sides by 19 feet:
0.0873 * 19 feet = x
Calculating this, we find:
1.659 feet = x (rounded to three decimal places)
Therefore, the value of x, rounded to the nearest tenth, is approximately 1.7 feet.
To find the value of x, we need to set up a proportion using the given information.
Let's first convert the height from inches to feet, since all units must be the same.
The height is 20 inches. Since there are 12 inches in 1 foot, we can divide 20 inches by 12 to get the equivalent in feet:
20 inches ÷ 12 = 1.67 feet (rounded to the nearest hundredth).
Now, we can set up the proportion:
height / ramp length = 1.67 feet / x
According to the given recommendation, the ramp length is 19 feet. So, the proportion becomes:
20 inches / 19 feet = 1.67 feet / x
To solve for x, we can cross-multiply:
20 inches * x = 19 feet * 1.67 feet
Converting 19 feet to inches (since we have inches on the left side of the equation):
20 inches * x = 19 feet * 12 inches/foot
Simplifying:
20 inches * x = 228 inches
Now, divide both sides by 20 inches to isolate x:
x = 228 inches / 20 inches
x = 11.4
Therefore, the value of x rounded to the nearest tenth is 11.4.