A tower subtends an angle α at a point on the same level as the foot of the tower and at a distance 'a' from it. On walking 'b' units towards the tower, the angle subtended becomes β. What is the height of the tower?
Q1. A tower subtends an angle α at a point on the same level as the foot of the tower and at a distance 'a' from it. On walking 'b' units towards the tower, the angle subtended becomes β. What is the height of the tower?
Answer: ab / (cot α - cot β)
Explanation: Using the tangent function for both angles and the given distances, we can derive the formula for the height of the tower.