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The angle of elevation of the top of a...

The angle of elevation of the top of a tower from a certain point is `30^o` . If the observer moves 20 m towards the tower, the angle of elevation of the top of the tower increases by `15^o` . Then height of the tower is

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To solve the problem step-by-step, we will use trigonometric concepts related to angles of elevation and right triangles. ### Step-by-Step Solution: 1. **Understanding the Problem**: - Let the height of the tower be \( h \) meters. - Let the distance from the observer to the base of the tower initially be \( x \) meters. - The angle of elevation from this point is \( 30^\circ \). ...
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The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 45 m towards the tower, the angle of elevation becomes 45^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 40sqrt3 m towards the tower, the angle of elevation becomes 60^(@) . Find the height of the tower.

A person observed the angle of elevation of the top of a tower as 30^@ . He walked 50m towards the foot of the tower along level ground and found the angle of elevation of the top of the tower as 60^@ . Find the height of the tower.

The angle of elevation of the top of a tower at any point on the ground is 30^@ and moving 20 metres towards the tower it becomes 60^@ . The height of the tower is

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 60^(@) . From a point Y, 40 m vertically above X, the angle of elevation of the top Q of tower is 45^(@) . Find the height of the tower PQ and the distance PX. (Use sqrt3=1.73 ).

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 60^@ .From a point y 40 m vertically above X, the angle of elevation the top Q of tower is 45^@ .Find the height of the tower PQ and the distance PX.(Use sqrt3=1.73 )

The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is 60^@ .From a point y 40 m vertically above X, the angle of elevation the top Q of tower is 45^@ .Find the height of the tower PQ and the distance PX.(Use sqrt3=1.73 )

A T.V. Tower stands vertically on a bank of a river. From a point on the other bank directly opposite to the tower, the angle of elevation of the top of the tower is 60 degrees. From a point 20m away this point on the same bank, the angle of elevation of the top of the tower is 30o . Find the height of the tower and the width of the river.

The angle of elevation of the top of a tower as observed from a point on the ground is 'a' and on moving 'a' metre towards the tower, the angle of elevation is 'beta' Prove that the height of the tower is : (a tan alphatanbeta)/(tanbeta-tanalpha)

The angle of elevation of the top of a tower at a point A on the ground is 30^(@) . On walking 20 meters toward the tower, the angle of elevation is 60^(@) . Find the height of the tower and its distance from A.

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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