# Find the height of a pole that casts a shadow of length 5 metres at a time and place where the shadow of a stick 50 cm long is 2 metres.

$Let\;the\height\;of\;the\;pole\;be\;x\;cm\\* Now,\;50\; cm\;long\;stick\;cast\;shadow\;of\;200\;cm\\* and, \;x\;cm\;long\;pole\;cast\;shadow\;of\;500\;cm\\* By\;the\;property\;of\;similar\;triangle\;ratio\;of\;the\;corresponding\;sides\;will\;be\;same\\* \Rightarrow x\div 500=50\div200\\* \Rightarrow x=125\;cm=1.25\;m$

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