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A radio transmitter antenna of height 10...

A radio transmitter antenna of height 100 m stands at the top of a tall building. At a point on the ground, the angle of elevation of bottom of the antenna is `45^@` and that of top of antenna is `60^@`. What is the height of the building ?

A

100 m

B

50 m

C

`50(sqrt(3)+1)m`

D

`50(sqrt(3)-1)m`

Text Solution

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The correct Answer is:
C
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LUCENT PUBLICATION-HEIGHT AND DISTANCE-EXERCISE-12A
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  4. The shadow of a pole 6 metre high is 15 metre long and at the same tim...

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  5. Suppose the angle of elevation of the top of a tree at a point E due e...

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  6. Two poles of heights 6m and 11 m stand on plane ground. If the distanc...

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  7. The shadow of a tower is 15 m when the Sun's altitude is 30^(@). What ...

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  8. The angles of elevation of the top of a tower from two points situated...

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  9. The angle of elevation of the top of an unfinished tower at a distance...

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  10. The shadow of a tree is 16 meter when elevation of Sun is 60^(@). What...

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  11. From a lighthouse the angles of depression of two ships on opposite si...

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  12. An aeroplane is vertically above the another plane flying at a height ...

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  13. A man stands at the end point of the shadow of a pole. He measure that...

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  14. The angle of depression of vertices of a regular hexagon lying in a pl...

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  15. Two poles, one is double in length of other, are standing opposite to ...

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  16. The angle of elevation of the top of a building from the top a...

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  17. At a point on a horizontal line through the base of a monument ...

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  18. The angle of elevation of the to of a tower from a point A on the grou...

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  19. There are two vertical posts ,one on each side of a road ,just opposit...

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  20. At the foot of a mountain the elevation of its summit is 45^(@). After...

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