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A lamp post is sittuated at the middle point M of the side AC of a triangular plot ABC with BC=m CA =8 m and AB =9 m. Lamp post subleds an anlgle `15^(@)` at the point B. The height of the lamp post is

A

`2- sqrt3`

B

`sqrt3-2 `

C

`7(2-sqrt3)`

D

`7(sqrt3 -2)`

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Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PROPERTIES OF TRIANGLES -EXERCISE 1C
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  2. The angle of elevation of a cloud from a point h mt above the surface ...

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  3. The angle of elevation of a stationary cloud from a point 2500 mt abov...

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  4. The angle of elevation of the top of the tower observed from each of t...

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  5. A person stading on the bank of a river observerves that the angle of ...

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  6. ABC is a triangular park with AB=AC=100 meters. A clock tower is situa...

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  7. An aeroplane flying with uniform speed horizontally one kilometer abov...

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  8. The upper 3//4^(th) portion of a vertical pole subtends an angle "Tan"...

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  9. A vertical pole subtends an angle Tan^-1(1/2) at a point P on the grou...

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  10. The angle of elevation of a stationar cloud from a point 2500 m above ...

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  11. A lamp post is sittuated at the middle point M of the side AC of a tri...

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  12. A tree stands vertically on the slant of the hills From a point A on t...

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  13. An object is placed at a distance of 10 cm from a convex mirror of foc...

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  14. Two ships leave a port at the same time . One goes 24km per hour in th...

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  15. Two trees A and B are on the same side of a river. From a point C in t...

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  16. The angle of elevation of the toop point P of the vertical tower PQ of...

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  17. AB is a vertical pole with B at the ground level and and A at the top ...

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  18. A person observes the top of a tower from a point A on the ground. the...

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  19. A bird is sitting on the top of a vertical pole 20 m high and its elev...

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  20. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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