NIELIT 2017 July Scientist B - Section A: 14

Question

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

• A. $30^\circ{}$
• B. $45^\circ{}$
• C. $60^\circ{}$
• D. $90^\circ{}$

Comments

In question, instead of 3 it shold be $\sqrt{3}$ . then only we can get the answer as $30^{\circ}$

---

Yes you are right.

Answer 1

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

Let $\angle ACB = \theta$

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

$\implies \cot\theta = 3$