The ratio of the length of a rod and its shad | vedclass

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Question

(A) Let $AB$ be the rod and $AC$ be its shadow.Let $\angle ACB = 	heta$.Given that the ratio of the length of the rod to its shadow is $AB : AC = 1 :

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(A) Let $AB$ be the rod and $AC$ be its shadow.Let $\angle ACB = 	heta$.Given that the ratio of the length of the rod to its shadow is $AB : AC = 1 : \sqrt{3}$.Let $AB = x$,then $AC = \sqrt{3}x$.In the right-angled triangle $	riangle ABC$,we have:$	an 	heta = \frac{	ext{Opposite side}}{	ext{Adjacent side}} = \frac{AB}{AC}$$	an 	heta = \frac{x}{\sqrt{3}x} = \frac{1}{\sqrt{3}}$Since $	an 30^{\circ} = \frac{1}{\sqrt{3}}$,we get $	heta = 30^{\circ}$.Therefore,the angle of elevation of the sun is $30^{\circ}$.

The ratio of the length of a rod and its shadow is $1 : \sqrt{3}$. The angle of elevation of the sun is (in $^{\circ}$)

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