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Zorluk: OrtaMap Scale Conversion and Distance Calculation

On a regional conservation map drawn to a Representative Fraction (R.F.) scale of 1:25,0001 : 25,000, the distance between two forest ranger posts along a straight trail measures 16.4 cm16.4\text{ cm}. What is the actual ground distance between the two ranger posts in kilometers?

Cevap: 4.1 km

Cevap

The actual ground distance between the two ranger posts is 4.1 kilometers.
The scale ratio 1 : 25,000 indicates that 1 centimeter on the map corresponds to 25,000 centimeters (or 0.25 kilometers) on the ground. Multiplying the measured map length of 16.4 centimeters by 0.25 kilometers per centimeter gives an actual ground distance of 4.1 kilometers.

Adım Adım Çözüm

1
Determine ground distance in centimeters
16.4 cm×25,000=410,000 cm16.4\text{ cm} \times 25,000 = 410,000\text{ cm}
Each unit on the map represents 25,000 identical units on the ground.
2
Convert centimeters to meters
410,000 cm÷100=4,100 m410,000\text{ cm} \div 100 = 4,100\text{ m}
There are 100 centimeters in 1 meter.
3
Convert meters to kilometers
4,100 m÷1,000=4.1 km4,100\text{ m} \div 1,000 = 4.1\text{ km}
There are 1,000 meters in 1 kilometer.

Anahtar Kavram

Ground distance calculation using Representative Fraction (R.F.) map scale
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Konular

Map Scale Conversion and Distance Calculation

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