Archimedes went to sleep beside a big rock. He wanted to get up at 888 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 888 AM so as to be awakened by the direct sunlight. Archimedes knew that at 888 AM, the sunlight reaches the ground at an angle of 43^\circ43
∘
43, degrees. The rock beside which he slept was 777 meters tall.
How far from the rock did Archimedes go to sleep?
Round your final answer to the nearest hundredth.