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 of 43°. the rock beside which he
slept was 7 meters tall.
how far from the rock did archimedes go to sleep?
round your final answer to the nearest hundredth.