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A tower of height h m stands at the centre of an equilateral triangle. From the top of the tower, each side of the triangle is seen under an angle of 60°. If the side length of the triangle is a, then

1. 3a² = 2h²
2. 2a² = 3h²
3. a² = 3h²
4. 3a² = h²

Correct answer: 2a² = 3h²

Solution

The correct option relates the height of the tower to the side length of the triangle through trigonometric relationships in an equilateral triangle, where the angles formed from the top of the tower to the triangle's sides lead to the derived equation, confirming that the height is proportional to the square of the side length.

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