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From a point on the ground, the angles o...

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20m high building are `45^(@) and 60^(@)` respectively. Find the height of the tower.

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The correct Answer is:
`20 (sqrt3-1)m`
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Two poles of equal heights are standing opposite each other on either side of the road, which is 80m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60^(@) and 30^(@) , respectively. Find the height of the poles and the distances of the point from the poles.

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A building stands on a horizontal plane and is surmounted by a vertical flag-stagg of height h. At a point on the plane, the angles of elevation of the bottom and the top of the flag-staff are alpha and beta respectively. Prove that the height of the building is (h tan alpha)/(tan beta-tan alpha)

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KUMAR PRAKASHAN-SOME AAPLICATIONS OF TRIGONOMETRY-Exercise9.1
  1. A circus artist is climbing a 20m long rope, which is tightly stretche...

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  2. A tree breaks due to storm and the broken part bends so that the top o...

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  3. A constractor plans to install two slides for the children to play in ...

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  4. The angle of elevation of the top of a tower from a point on the groun...

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  5. A kite is flying at a height of 60m above the ground. The string attac...

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  6. A 1.5m tall boy is standing at some distance from a 30m tall building....

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  7. From a point on the ground, the angles of elevation of the bottom and ...

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  8. A statue, 1.6m tall, stands on the top of a pedestal. From a point on ...

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  9. The angle of elevation of the top of a building from the foot of the t...

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

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  11. A TV tower stands vertically on a bank of a canal. From a point on the...

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  12. From the top of a 7m high building, the angle of elevation of the top ...

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  13. As observed from the top of a 75m high lighthouse from the sea-level, ...

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  14. A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...

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

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  16. The angles of elevation of the top of a tower from two points at a dis...

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