From the top of the tower of 24 meter height, a man observes a child playing on the ground at an angle of depression of 30°. After sometimes, he observed that the angle of depression is 60°. Find the distance covered by kid.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 16√3 meter
At an angle of depression of 30° the child is at a horizontal distance 24/tan 30° = 24√3 m from the foot of the tower; at 60° the distance is 24/tan 60° = 24/√3 = 8√3 m.
The child has walked towards the tower, so the distance covered is 24√3 − 8√3 = 16√3 metres, about 27.7 m.