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
Answer & explanation
Correct answer: option 3
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.