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Australian AMC 2024 - Senior Question 20

AMC AUSTRALIA · Australian AMC 2024 - Senior

Question 20

Abi is walking beside a lake. In the distance she can see a tree and its reflection on the surface of the lake. There is a depth indicator 5 metres away from her with its 0-metre mark at the lake surface level. From Abi’s point of view, the top of the tree is in line with the 1.8-metre mark on the depth indicator, while the reflection of the top of the tree is in line with the 1.1-metre mark. Abi’s eyes are level with the 1.5-metre mark. How tall is the tree in metres?

Question illustration
  1. 9
  2. 9.5
  3. 10
  4. 10.5
  5. 11