A) \[\frac{7\sqrt{3}}{2}\left( \frac{1}{\sqrt{3}+1} \right)m\]
B) \[\frac{7\sqrt{3}}{2}\left( \frac{1}{\sqrt{3}-1} \right)m\]
C) \[\frac{7\sqrt{3}}{2}(\sqrt{3}+1)m\]
D) \[\frac{7\sqrt{3}}{2}(\sqrt{3}-1)m\]
Correct Answer: C
Solution :
In \[\Delta ABC,\,\,\frac{h}{x}\,=\tan {{60}^{0}}\,\Rightarrow \,h=\sqrt{3}x\] ?(1) In \[\Delta ABD,\,\frac{h}{x+7}\,=\tan {{45}^{0}}\,\Rightarrow \,h=x+7\] ?(2) \[\therefore \] From (1) and (2), we get \[h=\frac{7\sqrt{3}}{\sqrt{3}-1}\,=\frac{7\sqrt{3}}{2}\,(\sqrt{3}+1)m\]You need to login to perform this action.
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