The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is:
30º
45º
60º
90º
Explanation:
Let AB be the tree and AC be its shadow.
Let $\angle$ACB = $\theta$
$\dfrac{AC}{AB}$= $\sqrt{3}$=$\Rightarrow$ cot$\theta$= $\sqrt{3}$
$\therefore \theta$ = 30º.
Let AB be the tree and AC be its shadow.
Let $\angle$ACB = $\theta$
$\dfrac{AC}{AB}$= $\sqrt{3}$=$\Rightarrow$ cot$\theta$= $\sqrt{3}$
$\therefore \theta$ = 30º.