9 out of 10 cheerleaders are 64" tall. The 10th cheerleader is 60" tall. If they build a human pyramid, where 4 girls are on the bottom, 3 stand on top of the 4, 2 stand on top of the 3 and the shortest girl is at the top, how tall is the human pyramid in feet?

Step 1: Identify the heights of the cheerleaders for each layer

We are given that 9 cheerleaders are 64 inches tall and one cheerleader is 60 inches tall. For the human pyramid, the shortest cheerleader will be at the very top. This means the other layers will be made up of cheerleaders who are 64 inches tall.

Step 2: Calculate the total height of the pyramid in inches

The pyramid has 4 layers: 4 girls on the bottom, 3 on top of them, 2 on top of those, and 1 at the very top. Since the girls are standing on each other, their heights add up. The shortest cheerleader (60 inches) is at the top, so the first three layers are made of cheerleaders who are 64 inches tall.

Step 3: Sum the heights to find the total height in inches

Adding the individual heights of the cheerleaders from each layer, we get the total height of the human pyramid in inches. Here, $64 + 64 + 64 + 60 = 252$ inches.

Step 4: Convert the total height from inches to feet

To convert inches to feet, we divide the total height in inches by 12, as there are 12 inches in 1 foot. We use the conversion factor to change the units to feet.

Step 5: Perform the conversion calculation

Dividing 252 inches by 12 inches/foot, we calculate the total height of the human pyramid to be 21 feet. The final calculation is $252 \div 12 = 21$ feet.

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