Bhaskara II Acharya/Lilavati/Chapter VI

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Bhaskara II Acharya: Lilavati Chapter $\text {VI}$: Plane Figure

Problem $150$

A snake's hole is at the foot of a pillar which is $15$ cubits high and a peacock is perched on its summit.
Seeing a snake, at a distance of thrice the pillar's height, gliding towards his hole, he pounces obliquely upon him.
Say quickly at how many cubits from the snake's hole do they meet, both proceeding an equal distance?