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The triangles in the diagram below are similar. Find the distance across Clarence Lake. ( Figure may not be drawn to scale)​

The triangles in the diagram below are similar. Find the distance across Clarence-example-1

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Answer: 40 km

Explanation:

As corresponding sides of similar triangles are proportional, if we let the distance across Clarence lake be x,


(x)/(8)=(15)/(3)\\\\(x)/(8)=5\\\\x=\boxed{40 \text{ km}}

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