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\[CD=100\,\,m\]. Applying short cut method. \[AB=\frac{100}{\cot {{30}^{o}}-\cot {{45}^{o}}}\] \[\Rightarrow \] \[AB=\frac{100}{\sqrt{3}-1}\times \frac{\sqrt{3}+1}{\sqrt{3}+1}\] \[AB=\frac{100(\sqrt{3}+1)}{2}\] \[=50(\sqrt{3}+1)m\]You need to login to perform this action.
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