Question

A tower stands vertically on the ground. From a point on the ground, which is 30 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 30°. Find the height of the tower.

Options

• 10 m

• `10 sqrt3  "m"`

• `30 sqrt3  "m"`

• 30 m

Answer 1

`10 sqrt3  "m"`

Explanation:

The given situation can be represented by the Δ below

Now, `"tan"  30^circ = "AB"/"BC"`

`=> 1/sqrt3 = "AB"/30`

`=> 10 sqrt3 = "AB"`

`therefore "Heights of tower is"  10 sqrt3  "m"`