Question

The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will ____________.

Options

• also, get doubled

• will get halved

• will be less than 60 degree

• None of these

Answer 1

The angle of elevation of the top of a tower is 30°. If the height of the tower is doubled, then the angle of elevation of its top will be less than 60 degrees.

Explanation:

`"tan" 30^circ = "h"/"x"`

`=> 1/sqrt3 = "h"/"x"`

`=> "h" = "x"/sqrt3`

Now, when the height of the tower os doubles, we get:

`"tan" theta = (2"h")/"x"`

`"tan" theta = 2/"x" xx "x"/sqrt3`

`"tan" theta = 2/sqrt3`

`theta < 60^circ`