An airplane is flying over the ocean on a horizontal flight path, parallel to the surface of the ocean

An airplane is flying over the ocean on a horizontal flight path, parallel to the surface of the ocean.  There is a submarine below the surface of the ocean and a battleship on the surface of the ocean.  The cockpit of the airplane has two identical pieces of equipment that can measure angles of depression from the cockpit of the airplane to objects below the airplane.  One of these pieces of equipment measures an angle of depression from the cockpit of the airplane to the front tip of the submarine. That angle is 25?30′. At the same instant, the second piece of equipment measures an angle of depression from the cockpit of the airplane to the front part of the battleship that is at the surface of the ocean. That angle is 15?15′.  Using radar, the distance from the cockpit of the airplane to the front part of the battleship that is at the surface of the ocean is measured to be 5345 feet.  All three objects (plane, submarine, and battleship) are coplanar, meaning they lie in the same vertical plane.

Questions

1. Draw the diagram described by the problem and label the known information.
2. Why the plane, submarine, and battleship must be coplanar.
3. Find the distance between the battleship and the submarine.  Remember to show all work and give explanations for all steps taken.
4. Is it possible to know the altitude of the plane above the surface of the ocean?  If it is, find the altitude, showing all work with explanations.  If it is not, explain why it is not possible.
5. Is it possible to know the depth of the submarine below the surface of the ocean?  If it is, find the depth, showing all work with explanations.  If it is not, explain why it is not possible.
6. Is it always possible to find the distance between the battleship and the submarine given that the angles of depression and the distance from the plane to the battleship are known?  In other words, are there values for those pieces of information that will result in either no solution or an unrealistic solution? explain in detail.
7. What we learned from this problem, whether it improved our analytical skills, and what lesson we will take away for the future from doing this problem.