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From the top of a tower, the angles of d...

From the top of a tower, the angles of depression of two objects on the same side of the tower are found to be `alpha` and `beta` `(alpha >beta)`. If the distance between the objects is 'p' metres, show that the height 'h' of the tower is given by `h=frac(p tan alpha tan beta)(tan alpha-tan beta)`
also determine the height of the tower, if p=50 m , `alpha=60^@, beta=30^@`

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MBD-Some Applications Of Trignometry-271
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  2. A man on the deck of a ship is 12 m above water level. He observes tha...

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  3. A pole 5 m high is fixed on the top of a tower. The angle of elevation...

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  4. From the top of a tower, the angles of depression of two objects on th...

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  5. The angle of elevation of the top of a tower from a point A on the gro...

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  6. From the top of a building 15 m high, the angle of elevation of the to...

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  7. The angle of elevation of a jet plane from a point A on the ground is ...

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  8. The angle of elevation theta, of a vertical tower from a point on grou...

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  9. The angle of elevation theta of the top of a light house, as seen by ...

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  10. The angles of elevation and depression of the top and bottom of a ligh...

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  11. The angles of elevation and depression of the top and bottom of a ligh...

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  12. From a point on the ground 40 m away from the foot of a tower, the ang...

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  13. A tree stands vertically on the bank of a river. From a point on the o...

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  14. As observed from the top of a light house, 100 m high above sea level,...

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  15. The angle of elevation of a cloud from a point 200 m above the lake is...

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  16. On a horizontal plane there is a vertical tower with a flag on the top...

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  17. From a building 60 metres high the angle of depression of the top and ...

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  18. Two pillars of equal heightstand on either side of a roadway which is ...

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  19. From the top of a hill 200 m high, the angles of depression of the top...

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  20. From a point P on the ground the angle of elevation of the top of a 10...

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