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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 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.

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The correct Answer is:
42.42 m
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EDUCART PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS -LONG ANSWER TYPE QUESTIONS
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  2. From a point on the ground, the angles of elevation of the bottom and...

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  3. A boy standing on a horizontal plane finds a bird flying at a distance...

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  4. If sin theta + cos theta = p and sec theta + "cosec"theta = q, then p...

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  5. The angle of elevation of a jet plane from a point A on the grou...

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  6. Prove that: ((1+ cot theta + tan theta)(sin theta - cos theta))/(sec^(...

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  7. If sec theta + tan theta = m, show that ((m^(2) -1))/((m^(2) +1)) = ...

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  8. A moving boat is observed from the top of a 150 m high cliff moving aw...

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  9. A ladder rests against a vertical wall at inclination alpha to the hor...

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  10. There are two temples, one on each bank of a river, just opposite t...

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  11. A boy standing on a horizontal plane finds a bird flying at a distance...

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  12. prove that: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec ...

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  13. The lower window of a house is at a height of 2m above the ground and ...

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  14. Prove that: (sin theta)/(cot theta + "cosec"theta) = 2 + (sin theta)/(...

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  15. Prove that (sinA -cos A+1)/(sin A + cos A - 1) = (1)/(sec A - tan A)

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  16. A man in a boat rowing away from a light house 100 m high takes 2 minu...

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  17. Two poles of equal heights are standing opposite each other on either...

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  18. The shadow of a flagstaff is three times as long as the shadow of the...

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  19. Prove that: (sinA - 2sin^(3)A)/(2 cos^(3)A - cosA) = tan A

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  20. A straight highway leads to the foot of a tower. A man standing at ...

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