PQ is a vertical tower having P as the foot. A,B,C are three points in the horizontal plane through P. The angles of elevation of Q from A,B,C are equal and each is equal to `theta` . The sides of the triangle ABC are a,b,c, and area of the triangle ABC is `triangle` . Then prove that the height of the tower is (abc) `tantheta/(4 'triangle' dot`

Explanation

To solve the problem, we need to establish the relationship between the height of the tower (PQ), the angles of elevation (theta), and the area of triangle ABC.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- Let PQ be the height of the tower, where P is the foot of the tower and Q is the top.
- Points A, B, and C are in the horizontal plane through P.
- The angles of elevation from points A, B, and C to point Q are equal and denoted as θ.
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