Convert 1:50,000 into a statement of scale.
Given: R.F. = 1 : 50,000
Step 1: This means 1 unit on the map represents 50,000 units on the ground.
Step 2: Converting into statement of scale:
- 1 cm on map = 50,000 cm on ground
- 50,000 cm ÷ 100 = 500 metres
Statement of Scale: 1 cm represents 500 metres.
Explanation
The question requires converting a Representative Fraction (R.F.) into a statement of scale. The R.F. 1:50,000 means that 1 unit on the map equals 50,000 units on the ground. To express this as a statement of scale, we convert 50,000 cm into metres (50,000 ÷ 100 = 500 metres). Thus, the statement of scale is '1 cm represents 500 metres' or '1 cm to 500 m'.
Solution Steps
Step 1: Understand that R.F. 1:50,000 means 1 unit on map = 50,000 units on ground
Step 2: Convert 50,000 cm to metres: 50,000 ÷ 100 = 500 metres
Step 3: Write statement of scale: 1 cm represents 500 metres