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A model airplane has a wingspan of about 15 inches. The actual airplane has a wingspan of 34 feet and a length of 42 feet. How long is the model? (Round to the nearest tenth.)

Answer :

Final answer:

To calculate the length of the model airplane, a scale factor is used based on the wingspan, which is then applied to the actual length of the airplane to determine the model length.

Explanation:

To find the length of the model airplane, we need to use a scale factor based on the wingspan. The actual airplane has a wingspan of 34 feet, and our model has a wingspan of 15 inches. To convert feet to inches, we can recall that 1 foot equals 12 inches.

First, let's find the scale factor:

  1. Actual wingspan: 34 feet = 34 × 12 inches = 408 inches
  2. Model wingspan: 15 inches

The scale factor can then be calculated by:

  1. Scale factor = Model wingspan / Actual wingspan = 15 inches / 408 inches

This gives us the scale factor we will use to find the length of the model. Now, to find the model length, we multiply the actual length of the airplane by this scale factor:

  1. Actual length of airplane: 42 feet = 42 × 12 inches = 504 inches
  2. Model length = 504 inches × (15 / 408)

After multiplying and rounding to the nearest tenth, we get the length of the model airplane.

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