The angle of elevation of the top of a tower at a point on the ground is 30°. What will be the angle of elevation, if the height of the tower is tripled?

Let h be the height of the tower

∴ tan 30°= h/ AB (tan θ = perpendicular / base)

………..1

When the height is tripled h becomes 3h

tan θ = 3h / AB

tan θ = (from 1)

tan θ =

tan θ = √3 ( by rationalizing the denominator)

θ = 60° (tan 60° = √3)