The angle of elevation of the top of an unfinished tower at a distance of 120 m from its base is `30^(@)`. How much higher must the tower be raised so that the angle of elevation of its top at the same point may be `60^(@)` ?

Options

A. `120 (sqrt(3)+1) m `
B. `120 (sqrt(3)-1) m`
C. `120sqrt3m`
D. 120m

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the Problem
We need to find out how much higher the unfinished tower must be raised so that the angle of elevation from a point 120 meters away changes from 30 degrees to 60 degrees.

### Step 2: Set Up the Diagram
Let:
- \( H \) = height of the unfinished tower
...