A pillar of height 30 metre and a tower lies onthe same base. The angl

1.	A pillar of height 30 metre and a tower lies onthe same base. The angle of depression ofthe bottom of the tower from the top of thepillar is 30° and the angle of elevation of thetop of the tower from the bottom of the pillaris 60°. Find the height of the tower and thedistance between the tower and the pillar.
Answer» ANSWER Let H= height of SECOND tower, d=distance between TWO towers height of first tower = 30 m From given data, $\frac{30}{d }= tan60 = \sqrt{3}$ $\frac{h}{d} = tan30 = \frac{1}{ \sqrt{3} }$ $\sqrt{3} h = d$ $30 = d \sqrt{3}$ $h = 10m$ $d = 10 \sqrt{3}m$ THEREFORE, height of the other tower is 10 m.