A) \[50(\sqrt{3}-1)\,m\]
B) \[50(\sqrt{3}+1)\,m\]
C) \[50(\sqrt{3})\,m\]
D) \[\frac{50}{\sqrt{3}-1}\,m\]
Correct Answer: B
Solution :
Here let AB be the height of light house and D, C are the ships such that CD = 100m. Applying short cut method. \[AB=\frac{100}{\cot 30{}^\circ -\cot 45{}^\circ }\] \[\Rightarrow AB=\frac{100}{\sqrt{3}-1}\times \frac{\sqrt{3}+1}{\sqrt{3}+1}\] \[AB=\frac{100(\sqrt{3}+1}{2}\] \[=50(\sqrt{3}+1)\] mYou need to login to perform this action.
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