Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships.

Two ships are sailing in the sea on the two sides of a lighthouse. The an-gles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships.
QuestionTwo ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are 30° and 45° respectively. If the lighthouse is 100m high, find the distance between the two ships.
Typemultiple_choice
Option155.80 mincorrect
Option157.80 mcorrect
Option159. 80 mincorrect
Option161.80 mincorrect
Solution :

Let AB be the height of lighthouse and C and D be the positions of the ships.

AB = 100 meters, ∠ACB = 45°, ∠ADB = 60°

AC = AB (100m)

AC = 100 m

Distance between ships, CD = AC + AD

quantitative aptitude
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