Q.

A boy standing on a horizontal plane finds a bird flying at a distance of $100 m$ from him at an elevation of $30 °$ . A girl standing on the roof of a $20 m$ high building, finds the elevation of the same bird to be $45 °$ . The boy and the girl are on the opposite sides of the bird. Find the distance of the bird from the girl. [Given $2 = 1.414]$

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40.42 m

41.42 m

42.42 m

43.42 m

answer is C.

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Detailed Solution

It is given that a boy standing on a horizontal plane finds a bird flying at a distance of

100 m

from him at an elevation of

30 °

and girl standing on the roof of a

20 m

high building, the elevation of the same bird to be

45 °

Let the boy, girl and bird be at B, E and C respectively.
Let BC be the distance between bird and boy and CE be the distance between bird and girl BC=100m and