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From an aeroplane vertically above a str...

From an aeroplane vertically above a straight horizontal road, the angles of depression of two consecutive mile stones on opposite sides of the aeroplane are observed to be `alphaa n dbeta` . Show that the height in miles of aeroplane above the road is give by `(tanalphatanbeta)/(tanalpha+tanbeta)`

A

`(tan alpha + tan beta)/(tan alpha tan beta)`

B

`(tan alpha tan beta)/(tan alpha + tan beta)`

C

`(cot alpha cot beta)/(cot alpha + cot beta)`

D

none of these

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Verified by Experts

The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-HEIGHTS AND DISTANCES-Exercise
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  2. The angle of elevation of the top of a tower standing on a horizontal ...

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  3. From an aeroplane vertically above a straight horizontal road, the ...

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  4. A vertical tower stands on a declivity which is inclined at 15^(@) to ...

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  5. The angle of elevation of an object on a hill from a point on the grou...

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  6. A tower of x metres height has flag staff at its top. The tower and th...

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  7. .A house of height 100 m substends a right angle at the window of an o...

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  8. A tower of height b subtends an angle at a point 0 on the ground level...

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  9. A man of height 6 ft. observes the top of a tower and the foot of th...

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  10. If the elevation of the sun is 30^@ , then the length of the shadow c...

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  11. A ladder rests against a vertical wall at angle alpha to the horizonta...

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  12. From the top of a cliff 300 metres high, the top of a tower was obser...

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  13. The angles of elevation of the top of a tower at the top and the foot ...

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  14. A person standing on the bank of a river finds that the angle of elev...

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  15. A tower subtends an angle of 30^@ at a point on the same level as the ...

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  16. AB is a vertical pole. The end A is on the level ground .C is the midd...

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  17. The angle of depression of a point situated at a distance of 70 metres...

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  18. The angle of elevation of the top of a vertical tower from two points ...

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  19. An aeroplane flying horizontally 1 km above the ground is observed ...

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  20. about to only mathematics

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