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MathNet 2010 — Part 06 Question 65

Math Olympiad Vault · MathNet 2010 — Part 06

Question 65

The falcon flies over the meadow at a constant speed straight and at a constant height $222~\mathrm{m}$. A stationary mouse saw a falcon when it was like between the earth and the falcon $16^{\circ}$. A minute later it was like between the ground and the falcon $75^{\circ}$. The data is shown in the sketch. Calculate the length of the route that the falcon flew over in one minute. Question illustration