How far is Arne, England from Old Harry Rocks in kilometers?

How far is Arne, the large village and civil parish in the Purbeck district of Dorset, England; situated 4 miles east of Wareham from The Old Harry Rocks, 5 big Limestone rocks located in the North of Scotland measured in The kilometre (American spelling: kilometer; SI symbol: km), the unit of length in the metric system, equal to one thousand metres and is therefore exactly equal to the distance travelled by light in free space in of a seconds?

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Show reasoning Reasoning

I followed this chain of reasoning:

I know from locally stored knowledge that:
50°41'44"N is the latitude of Arne, England ([fact: ["127457892@trueknowledge.com"]])

50°38'32"N is the latitude of Old Harry Rocks ([fact: ["373187831@trueknowledge.com"]])

2°02'07"W is the longitude of Arne, England ([fact: ["127457891@trueknowledge.com"]])

1°55'24"W is the longitude of Old Harry Rocks ([fact: ["373187851@trueknowledge.com"]])

By calculation (generator: ["distance_between3@trueknowledge.com"]) I know that:
9.86419874878 kilometres is the distance between Arne, England and Old Harry Rocks

By calculation (generator: ["second_parameter@trueknowledge.com"]) I know that:
kilometre is the second parameter of 9.86419874878 kilometres

I know from locally stored knowledge that:
Fact 1: 1 is the multiplier that converts kilometre and kilometre ([fact: ["684486512@trueknowledge.com"]])

Fact 1 is true for all time ([fact: ["689997328@trueknowledge.com"]])

By calculation (generator: ["timeperiodtopoint@trueknowledge.com"]) I know that:
Fact 1 is true at June 18th 2013, 20:43:24

By calculation (generator: ["now@trueknowledge.com"]) I know that:
The current time is June 18th 2013, 20:43:24

By calculation (generator: ["first_parameter@trueknowledge.com"]) I know that:
9.86419874878 is the first parameter of 9.86419874878 kilometres

By calculation (generator: ["product@trueknowledge.com"]) I know that:
9.86419874878 is the product of 1 and 9.86419874878

By calculation (generator: ["class_parametered_object@trueknowledge.com"]) I know that:
length is the class of the parametered object 9.86419874878 kilometres

By calculation (generator: ["parametered_object_corresponding_to@trueknowledge.com"]) I know that:
9.86419874878 kilometres is the parametered object corresponding to length and 9.86419874878 and kilometre

By calculation (generator: ["equivalent_to6@trueknowledge.com"]) I know that:
Fact 2: 9.86419874878 kilometres is equivalent to 9.86419874878 kilometres

Fact 2 is true at June 18th 2013, 20:43:24

Fact 2: kilometre is the unit used in 9.86419874878 kilometres

I used the following facts to provide this answer:

50°41'44"N is the latitude of Arne, England

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50°38'32"N is the latitude of Old Harry Rocks

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2°02'07"W is the longitude of Arne, England

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1°55'24"W is the longitude of Old Harry Rocks

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1 has always been the multiplier that converts kilometre and kilometre and will be forever

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