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A boy standing on a horizontal …

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A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 30°. A girl standing on the roof of a 20m 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

    • Posted by Pulkit Sharma 6 years, 9 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 9 months ago

    Let O be the position of the bird, B be the position of the boy, G be the position of the girl and FG be the building at which the girl is standing. 

    BO= 100m , FG= 20m

     

    In ∆OLB,

    = sin30°OL =50m

    OM = OL-ML = OL-FG = 50-20 = 30m

     

    In ∆OMG,

    Thus, the distance of the bird from the girl is 42.3 m.

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