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Difficulty: EasyScale Drawings and Map Measurements

Read the scenario below and calculate the required measurement. Enter your numerical answer in the blank.

Answer:On a navigational chart, the scale indicates that 12\frac{1}{2} inch represents 55 miles. If the distance between two marker buoys on the chart is 33 inches, the actual distance between the buoys is 【30】 miles.

Answer

The actual distance between the buoys is 30 miles.
The correct answer is found by setting up a proportion or determining the unit rate. Since a half-inch represents 5 miles, doubling both values shows that a full inch represents 10 miles. Multiplying the 3 inches measured on the chart by 10 miles per inch gives an actual distance of 30 miles.

Step-by-Step Solution

1
Determine the actual distance represented by a full inch on the chart.
Since 12\frac{1}{2} inch represents 55 miles, 11 full inch represents 1010 miles (5×2=105 \times 2 = 10).
Finding the unit rate (miles per 1 inch) makes it easier to scale up to the full measurement.
2
Multiply the chart distance by the unit rate to find the actual distance.
3 inches×10 miles/inch=30 miles3 \text{ inches} \times 10 \text{ miles/inch} = 30 \text{ miles}.
Applying the calculated unit rate to the measured distance on the chart yields the real-world distance.

Key Concept

Using map scale proportions to calculate actual distance
Estimated Time:45s
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Topics

Scale Drawings and Map Measurements

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