Two men on either side of a pole of 30 m high observe its top at angles of elevation α and β respectively. The distance between the two men is 40√3 m and the distance between the first man at A and the pole is 30√3m.

Based on the above information, answer the question:

The value of α is

\(\frac{π}{6}\)

In ΔABD

$tan α = \frac{BD}{AD}$

$tan α =\frac{30}{30\sqrt{3}}\Rightarrow tan α =\frac{1}{\sqrt{3}}$

$α =30°=\frac{\pi}{6}$ ....(i)

Option 3 is correct.