15. Five mark example problem II

Two ships are sailing in the sea on either sides of a lighthouse. The angle of elevation of the top of the lighthouse as observed from the ships are \(30^{\circ}\) and \(45^{\circ}\) respectively. If the lighthouse is 200 \(m\) hight, find the distance between the two ships. \(\sqrt{3} = 1.732\).

 

Answer:

 

The distance between the two ships is  \(m\).

 

(Note: Write in \(1\) decimal place.)