A telecommunications company in Brazil plans to install a cable between two towers. Tower A is located at coordinates (−4, 7) and Tower B at (8, 2). Each unit on the grid represents 100 metres. What is the length of the cable needed?

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Question

A telecommunications company in Brazil plans to install a cable between two towers. Tower A is located at coordinates (−4, 7) and Tower B at (8, 2). Each unit on the grid represents 100 metres. What is the length of the cable needed?

Accepted Answer

1300 m — Award 1 mark for distance calculation: √[(8-(-4))² + (2-7)²] = √[144 + 25] = √169 = 13 units. Award 1 mark for conversion: 13 × 100 = 1300 m. C is incorrect — this adds the differences and multiplies by 100 (12 + 5 = 17). D is incorrect — this gives the answer in grid units without conversion. A is incorrect — this only uses the horizontal distance.

Answer

1200 m

Answer

1700 m

Answer

√169 m

Answer

1300 m

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