A) 60 m
B) 30 m
C) \[60\sqrt{3}m\]
D) \[30(\sqrt{3}+1)m\]
Correct Answer: D
Solution :
\[\because \,AB=AM-BM\Rightarrow \frac{AB}{h}=\frac{AM}{h}-\frac{BM}{h}\] \[\frac{AB}{h}=\cot {{30}^{o}}-\cot {{45}^{o}}\Rightarrow h=\frac{60}{\sqrt{3}-1}\,=\frac{60(\sqrt{3}+1)}{3-1}\,\] Þ \[h=30(\sqrt{3}+1)\,m\].You need to login to perform this action.
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