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Yogita Ingle 6 years, 2 months ago
Let us assume that √5 is a rational number.
we know that the rational numbers are in the form of p/q form where p,q are intezers.
so, √5 = p/q
p = √5q
we know that 'p' is a rational number. so √5 q must be rational since it equals to p
but it doesnt occurs with √5 since its not an intezer
therefore, p =/= √5q
this contradicts the fact that √5 is an irrational number
hence our assumption is wrong and √5 is an irrational number.
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Yogita Ingle 6 years, 2 months ago
Ratio of the height of a tower and the length of its shadow is given by
{tex}\sqrt{3}:1{/tex}
So, we will use tangent of triangle to find the angle of elevation:
{tex}\tan \theta=\dfrac{\text{Height of tower}}{\text{Length of shadow}}\\\\\tan \theta=\dfrac{\sqrt{3}}{1}\\\\tan \theta=\tan 60^\circ\\\\\theta=60^\circ{/tex}
Hence, the angle of the elevation of the sun is 60°.
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M.......... Duhan 6 years, 2 months ago
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