A ship is initially \(30 \ m\) from the foot of the lighthouse that is \(6 \ m\) tall. The ship sails towards the lighthouse until the distance from the ship to the top of the lighthouse equals the distance it has travelled. Determine the ship's distance from the foot of the lighthouse.
Answer:
The ship is \(m\) away from the foot of the lighthouse.
(Note: Round off the answer to \(1\) decimal place, if necessary.)