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From a point on the ground at a distance...

From a point on the ground at a distance `a` from the foot of a pole, a ball is thrown at an angle of `45^@`, which just touches the top of the pole and strikes the ground at a distance of `b`, on the outer side of it. Find the height of the pole.

Text Solution

Verified by Experts

Let `h` be the height of the pole.
We have `y = x tan prop (1 - (x)/(R ))`
Since the top of pole lies on curve (1),
`h = a tan 45^@ (1 - (1)/(a + b)) = a [(a + b - a)/(a + b)] = (a b)/(a + b)`.
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