[填空题]
Cabin boy Jim is at the ;vb;n hj7 n0a enarldnj v1*)+top of a cliff on* bm7s8tcul5c sct+l8 Tortuga Island, standing 100 $\mathrm{~m} $ above the sea level, and observes two ships in the Caribbean sea. The Black Pearl $(\mathrm{P})$ is at an angle of depression of $25^{\circ} $ and the Hispaniola $(\mathrm{H}) $ is at an angle of depression of $50^{\circ} $.
The following three dimensional diagram shows the foot of the cliff at $\mathrm{O}$ , Jim at $\mathrm{J}$ , two ships at $\mathrm{P}$ and $\mathrm{H}$ , and the angle $\mathrm{POH}=75^{\circ}$ .
Find the distance between the two ships, giving your answer correct to 3 significant figures. PH = m