Difficult# Trigonometry: Law of Sines/Application/Ship at Sea

GEOM-NXLHNW

A ship is sighted at sea between two observation points along the New England coastline that are $40.5$ miles apart. The angle formed by the coastline and the line between the ship and the first observation point measures ${35.4}^{\circ}$. The angle formed by the coastline and the line between the ship and the second observation point measures ${55}^{\circ}$.

What is the difference in the distance between the first observation point and the ship and the second observation point and the ship?