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IMAS 2023–2024 Junior Division — First Round Question 15

IMAS · IMAS 2023–2024 Junior Division — First Round

Question 15

As shown in the diagram below, when the angle of the sunbeam changes from $45^\circ$ to $30^\circ$, the shadow of a leaning tower doubles in length. What is the measure of the angle $\alpha$, in degrees, that the leaning tower makes with the horizontal line?

Question illustration
  1. $60^\circ$
  2. $65^\circ$
  3. $70^\circ$
  4. $75^\circ$
  5. $80^\circ$