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From the top of a tower h m high, angles...

From the top of a tower h m high, angles of depression of two objects, which are in line with the foot of the tower are `alpha` and `beta(betagtalpha)`. Find the distance between the two objects.

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To solve the problem, we need to find the distance between two objects observed from the top of a tower of height \( h \) meters, where the angles of depression to the two objects are \( \alpha \) and \( \beta \) (with \( \beta > \alpha \)). ### Step-by-Step Solution: 1. **Draw the Diagram**: - Let the tower be represented by point \( A \) (top of the tower) and point \( B \) (foot of the tower). - Let the two objects be \( C \) and \( D \) on the ground. - The angle of depression to object \( C \) is \( \alpha \) and to object \( D \) is \( \beta \). ...
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NCERT EXEMPLAR ENGLISH-INTRODUCTION TO TRIGoNOMETRY AND ITS APPLICATIONS-LONG ANSWER TYPES QUESTIONS
  1. If cosectheta + cottheta=p, then prove that the cos theta=(p^2-1)/(p^2...

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

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

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

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  5. If sintheta + 2 costheta=1,then prove that 2sintheta-costheta=2.

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

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

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

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  9. if tantheta+sectheta=l then prove that sectheta=(l^2+1)/(2l)

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

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  11. If a sintheta + bcos theta = C, then prove that a costheta -b sintheta...

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

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

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

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  15. about to only mathematics

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

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  17. If the angle of elevation of a cloud from a point h metres above a lak...

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

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