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Two pillars of height a and b subtend th...

Two pillars of height a and b subtend the same angle `alpha` at a point on the line joining their feet. If the pillars subtend angles `beta and gamma` at another point in the horizontal plane at which the line joining their feet subtends a right angle then `(a+b)cot^(2)alpha=a^(2)cot^(2)beta+b^(2)cot^(2)gamma`

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