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 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:
Choose the correct choice from the following answers.
A) 173 m	B) 200 m	C) 273 m	D) 300 m	E) 373 m
Let AB be the lighthouse and C and D be the positions of the ships.   Then, AB = 100 m, ACB = 30° and ADB = 45°.   AB	= tan 30° =	1 AC = AB x 3 = 1003 m.   AC	3   AB	= tan 45° = 1 AD = AB = 100 m.   AD   CD = (AC + AD)	= (1003 + 100) m   = 100(3 + 1)   = (100 x 2.73) m   = 273 m.   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 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is: