Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:  Choose the correct answer
A) 173 m B) 200 m C) 273 m D) 300 m E) None of these
xplanation:   Let AB be the lighthouse and C and D be the positions of the ships.   Then, AB = 100 m, &lt;ACB = 30º and &lt;ADB = 45º.   AB/A273 m=tan30   Answer: 273 m
<result>C</result>
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is: