Archimedes went to sleep beside a big rock. He wanted to get up at 7 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 7AM so as to
be awakened by the direct sunlight.
Archimedes knew that at 7 AM, the sunlight reaches the ground at an angle of 31°. The rock beside which
he slept was 5 meters tall.
How far from the rock did Archimedes go to sleep?
Round your final answer to the nearest hundredth.
meters