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Arithmetic Ability
Height and Distance

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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:

A. 173 m

B. 200 m

C. 273 m

D. 300 m

View Answer

Correct choice: C

Explanation:

Let AB be the lighthouse and C and D be the positions of the ships. Then, AB = 100m, ∠ACB = 30°and∠ADB =45° AB/AC=tan30°=1/√3=>AC=AB*√3=100√3m AB/AD=tan45°=1=>AD=AB=100m CD=(AC+AD)=(100√3+100)m=100(v3+1)=100*2.73=273m

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Arithmetic Ability Height and Distance

Arithmetic Ability
Height and Distance