Question

The shadow of a stick of height 1 metre, when the angle of elevation of the Sun is 60, will be

• A. $\frac{1}{\sqrt{3}}$ metre
• B. $\frac{1}{3}$ metre
• C. $\sqrt{3}$ metre
• D. 3 metre

Answer 1

Answer: (A)

$\frac{1}{\sqrt{3}}$ metre

Let AB $=$ 1 m be the stick.
Let AC be the shadow of length $x.$
From right angled $\Delta ACB,$
$tan{60}^0=\frac{1}{x}$
or $\sqrt{3}=\frac{1}{x}$
or $x=\frac{1}{\sqrt{3}}$m