Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are `60^@`and `30^@`, respectively. Find the height of the poles and the distances of the point from the poles.

Explanation

To solve the problem step by step, we will use trigonometric ratios and the information given in the question.

### Step 1: Understand the Setup
We have two poles, AB and CD, of equal height (let's denote the height as \( H \)). The distance between the two poles is 80 meters. A point E is located between the poles on the road, and the angles of elevation to the tops of the poles from point E are \( 60^\circ \) and \( 30^\circ \).

### Step 2: Define Distances
Let the distance from point E to pole AB be \( x \). Therefore, the distance from point E to pole CD will be \( 80 - x \).

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