Question

The ratio of the length of a rod and its shadow is ${\displaystyle 1:\sqrt{3}}$. The angle of elevation of the sum is 

Options

• 30°

•  45°

• 60°

• 90°

Answer 1

Let θ be angle of elevation of sun. 

Given that: angle of elevation is ${\displaystyle 60°}$from tower of foot and distance${\displaystyle BC=100}$ meters.

Here, we have to find the height of tower.

So we use trigonometric ratios.

In a triangle ${\displaystyle ABC}$ 

${\displaystyle \Rightarrow \tan C=\frac{AB}{BC}}$ 

${\displaystyle \Rightarrow \tan 60°=\frac{AB}{BC}}$ 

${\displaystyle \Rightarrow \sqrt{3}=\frac{h}{100}}$

${\displaystyle \Rightarrow =100\sqrt{3}}$

Hence correct option is ${\displaystyle a}$_.