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:
Answer & explanation
Correct answer: option 3
$α=30°,\, β=60°$
In ΔABC
Angle Sum property = $α+β+∠ABC=180°$
$30°+60°+∠ABC=180°$
$∠ABC=180°-90°$
$∠ABC=90°$
$∠ABC=\frac{\pi}{2}$