Question

The angle of elevation of the top of a tower from a point 20 meters away from its base is 45°. The height of the tower is ____________.

Options

• 10 m

• 20 m

• 30 m

• `20 sqrt3` m

Answer 1

The angle of elevation of the top of a tower from a point 20 meters away from its base is 45°. The height of the tower is 20 m.

Explanation:

`"AB"/"BC" = "tan"  45^circ`

`=> "AB"/20 = 1`

`=> "AB" = 20  "m"`.