# The angle of elevation of the top of a tower standing on a horizontal plane from a point C is α. After walking a distance d towards the foot of the tower the angle of elevation is found to be β. The find the height of the tower.

To find: The height of the tower.

Explanation:

Let h be the height of the tower on horizontal plane.

Let α be the angle of elevation from point C and β be the angle of elevation from point B

Given CB = d

In Δ PCB

In Δ CDB

tanβ ( h - d tanα) = h tanα

h tanβ - d tan a tanβ = h tan a

h (tanβ tan a) = d tan a tanβ

Use the formula:

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