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Suppose the angle of elevation of the top of a tree at a point E due east of the tree is 60° and that at a point F due west of the tree is 30°. If the distance between the points E and F is 160 feet, then what is the height of the tree ?

A

`40sqrt(3)` feet

B

60 feet

C

`40/sqrt(3)` feet

D

23 feet

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The correct Answer is:
A
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LUCENT PUBLICATION-HEIGHT AND DISTANCE-EXERCISE-12A
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  3. Suppose the angle of elevation of the top of a tree at a point E due e...

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

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

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

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

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

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

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

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

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

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

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

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  19. From a point on the ground the angle of elevation of top of a house an...

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  20. From a point of the ground, angle of elevation of top of a tower is 30...

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