A) \[50\sqrt{3}\,\,m\]
B) \[50(\sqrt{3}+1)\,\,m\]
C) \[50(\sqrt{3}-1)\,\,m\]
D) \[5\left( 1-\frac{1}{\sqrt{3}} \right)\,\,m\]
Correct Answer: C
Solution :
Let \[CD=x\] be the distance between the two boats. Then, from \[\Delta \,BCA,\] \[\tan {{45}^{o}}=\frac{AB}{AC}\] or \[1=\frac{50}{AD}\] or \[AC=50\,m\] Again, from \[\Delta \,BDA,\] \[\tan {{30}^{o}}=\frac{AB}{AD}\] or \[\frac{1}{\sqrt{3}}=\frac{50}{50+x}\] or \[50+x=50\sqrt{3}\] or \[x=50\,(\sqrt{3}-1)\,m\]You need to login to perform this action.
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