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:

∠ABC is equal to:

\(\frac{π}{2}\)

$α=30°,\, β=60°$

In ΔABC

Angle Sum property = $α+β+∠ABC=180°$

$30°+60°+∠ABC=180°$

$∠ABC=180°-90°$

$∠ABC=90°$

$∠ABC=\frac{\pi}{2}$