The height of the balloon

Geometry Level 3

A balloon of radius r r subtends an angle α \alpha on a point on the ground while the angle of elevation of the center of the balloon from the same point is β \beta .

Find the height of the balloon.

This problem belongs to this set

r × c o s e c α 2 × s i n β r\times cosec\frac { \alpha }{ 2 }\times sin\beta r × c o s e c β × s i n β 2 r\times cosec\beta \times sin\frac { \beta }{ 2 } r × c o s e c α × s i n β r\times cosec\alpha \times sin\beta r × c o s e c α × s i n β 2 r\times cosec\alpha \times sin\frac { \beta }{ 2 }

Vaibhav Prasad by Vaibhav Prasad , 21, India

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