A) \[50(\sqrt{3}-1)\]
B) \[50(\sqrt{3}+1)\]
C) \[50\]
D) \[100\]
Correct Answer: C
Solution :
The distance covered by a person from \[A\] to\[B=25(\sqrt{3}-1)\times 2\] \[=50(\sqrt{3}-1)\] In\[\Delta DBC\],\[\tan {{45}^{o}}=\frac{DC}{BC}\] \[\Rightarrow \] \[BC=h\] In\[\Delta DAC\],\[\tan {{30}^{o}}=\frac{h}{AB+BC}\] \[\Rightarrow \] \[\frac{1}{\sqrt{3}}=\frac{h}{50(\sqrt{3}-1)+h}\] \[\Rightarrow \] \[50(\sqrt{3}-1)+h=h\sqrt{3}\] \[\Rightarrow \] \[h=50\,\,m\]You need to login to perform this action.
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