Circles

Question

A boy standing on a horizontal plane finds a bird flying at a distance of 100 m from him at an elecvation of 30°. A girl standing on the roof of 20 metre high building finds the angle of elevation of the same bird to be 45°. Both the boy and the girl are on opposite sides of the bird. Find the distance of bird from the girl.

Answer

42.3 m. 

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