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The lower window of a house is at a heig...

The lower window of a house is at a height of 2m above the ground and its upper window is 4m vertically above the tower window. At certain instant the angles of elevation of a balloon from these windows are observed to be `60^(@)` and `30^(@)`, respectively. Find the height of the balloon above the ground.

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To solve the problem, we will use the concept of trigonometry, specifically the tangent function, which relates the angle of elevation to the height and distance from the object. ### Step-by-step Solution: 1. **Identify the heights**: - The height of the lower window from the ground = 2 m. - The height of the upper window = height of lower window + 4 m = 2 m + 4 m = 6 m. ...
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NCERT EXEMPLAR-INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS-Introduction To Trigonometry And Its Applications
  1. An observer, 1.5 m tall, is 20.5 m away from a tower 22 m high. Determ...

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  2. Prove the following identity: sec^4theta-sec^2theta=tan^4theta+tan^2th...

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  3. If cosectheta + cottheta=p, then cos theta=

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  4. Prove that sqrt(sec^(2)theta + cosec^(2)theta) = tantheta + cottheta.

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  5. The angle of elevation of the top of a tower from a certain point is 3...

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  6. If 1+sin^(2)theta = 3sinthetacostheta, then prove that tantheta=1 or 1...

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  7. If sintheta + 2 costheta=1,then 2sintheta-costheta=

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  8. The angle of elevation of the top of a tower from two distinct points ...

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  9. The shadow of a tower standing on a level ground is found to be 40 m ...

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  10. A vertical tower Stands on a horizontal plane and is surmounted by a v...

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  11. if tantheta+sectheta=l then tantheta=

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  12. If sin theta+ cos theta = p and sec theta + cosec theta = q; show that...

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  13. If a sintheta + bcos theta = c, then prove that a costheta -b sintheta...

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  14. Prove that (1+sectheta-tantheta)/(1+sectheta+tantheta) = (1-sintheta)/...

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  15. The angle of elevation of the top of a tower 30 m high from the foot ...

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  16. From the top of a tower h m high, angles of depression of two objects,...

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

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  18. The angle of elevation of the top of a vertical tower from a point on ...

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  19. From a window ( h meter above ground) the angle of elevation of other ...

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

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