A) \[\frac{200(\sqrt{3}-1)}{(\sqrt{3}+1)}\,\,meters\]
B) \[\frac{200(\sqrt{3}-1)}{\sqrt{3}}\,\,meters\]
C) \[\frac{200(\sqrt{3}+1)}{\sqrt{3}}\,\,meters\]
D) \[\frac{200(\sqrt{3}+1)}{(\sqrt{3}-1)}\,\,meters\]
Correct Answer: D
Solution :
Let \[OL=h,\] therefore \[LO'=H\] From \[\Delta \,PQO',\,\,PQ=QO'=QL+LO'\] \[=200+h\,\,\,[OL=LO'=h]\] From \[\Delta \,PQO,\,\frac{OQ}{PQ}=\tan {{30}^{o}}\] or \[OQ=PQ\text{ }tan\text{ }{{30}^{o}}\] or \[H-200=(200+h)\frac{1}{\sqrt{3}}\] \[\therefore \] \[h=\frac{200\left( \sqrt{3}+1 \right)}{\sqrt{3}-1}\]You need to login to perform this action.
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