I have read and read this promble and I just am not understanding it, could some one please help. I have been out of school for a long time.
The length of the Statue of Liberty's index finger is 8 feet while the height to the top of the head is about 111 feet. Suppose your measurements are proportionaly the same as this statue and your height is 5 feet.
a. Use the information to find the proposed length of your index finger. Give an exact measurement and then a decimal rounded to the nearest hundredth.
b. Measure your index finger and write it as a decimal in feet round to the nearest hundredth. How close is the length of your index finger to a. Explain.
a. 8/111 = x/5
Solve for x.
b. We don't have your finger to measure.
That is true. And funny. But my finger is 2 1/2 inches. I just need to know how to start it. Don't understand how my number are to be wrote down.
To solve this problem, we can set up a proportion based on the given information. Let's call the length of your index finger "x" feet.
a. Given:
Length of Statue of Liberty's index finger = 8 feet
Height of Statue of Liberty to the top of the head = 111 feet
Your height = 5 feet
Using the proportion, we get:
(Length of your index finger) / (Your height) = (Length of Statue of Liberty's index finger) / (Height of Statue of Liberty to the top of the head)
So, x / 5 = 8 / 111
To solve for x, we can cross-multiply and then solve for x:
111x = 8 * 5
111x = 40
x = 40 / 111
For the exact measurement, the length of your index finger would be 40/111 feet.
Now, let's round the decimal to the nearest hundredth:
Using a calculator, we can determine that 40/111 is approximately 0.36.
Therefore, the proposed length of your index finger is 40/111 feet (exact) or 0.36 feet (rounded to the nearest hundredth).
b. To measure your index finger and express it as a decimal in feet, round to the nearest hundredth, you'll need a ruler or a tape measure.
Measure your index finger from the base to the tip and write down the measurement in feet. For instance, let's simplify and assume your index finger is 0.42 feet long.
To determine how close your measured index finger length is to the proposed length (from part a), subtract your measured length from the proposed length and take the absolute value of the difference.
|0.42 - 0.36| = 0.06
The absolute difference is 0.06 feet.
This means that your measured index finger length is 0.06 feet away from the proposed length, which is relatively close.
In conclusion, to solve the problem, we used proportional reasoning to find the proposed length of your index finger based on the Statue of Liberty's proportions. Then, we measured your index finger to compare it with the proposed length and calculated the difference to determine how close the measurements are.