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The angle of elevation of the sun, when the length of the shadow of a tree is $3$ times the height of the tree, is

  1. $30^\circ{}$
  2. $45^\circ{}$
  3. $60^\circ{}$
  4. $90^\circ{}$

1 Answer

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Let $AB$ be the tree and $AC$ be its shadow.

Let $\angle ACB = \theta$

Then, $\dfrac{AC}{AB} = 3$

$\implies \cot\theta = 3$

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