Archimedes went to sleep beside a big rock. he wanted to get up at 8 am, but the alarm clock was yet to be invented! he decided to sleep at the spot where the rock's shadow should end when it's 8 am so as to be awakened by the direct sunlight. archimedes knew that at 8 am, the sunlight reaches the ground at an angle of43 degree. the rock beside which he slept was 7 meters tall.
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