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A lamp post is sittuated at the middle p...

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

` 4( 1-sqrt3) `

B

` 7( 1+ sqrt3) `

C

` 7( 2-sqrt3) `

D

` 7( 2+ sqrt3) `

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
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  2. If cot ""(A)/(2) = 30 , Cot "" (B)/(2) = 50 , Cot "" ( C)/(2) = 70...

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  3. A tower, of x metres high, has a flagstaff at its top. The tower and t...

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  4. A ladder of 20 mt long reaches a point 20 mt below the top of a flag s...

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

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

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  7. A flag staff stands vertically on a pillar. The height of the flag sta...

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  8. A tower subtends angles alpha, 2alpha, 3alpha at A,B and C all lyin...

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  9. The upper (3)/(4) the portion of a vertical pole subtends an angle...

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  10. A vertical pole subtends an angle Tan ^(-1) (( 1)/(2)) at a point ...

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  11. The sides of a right angled trinagles are in A.P., then they are in th...

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  12. The angle of elevation of the top of the tower is 45^(@) on walking up...

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  13. The angle of elevation of a tower from two point which are distance h...

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  14. The upper 3//4 of a ship's mast subtends at a point on the deck whic...

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  15. AB is vertical pole with B at ground level and A at the top. A man fi...

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  16. The angle of elevation of the top of the tower is 45^(@) on walking up...

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  17. The angle of a triangle ABC are in an arithmetic progression . The lar...

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  18. In Delta ABC , if x=tan((B-C)/(2))tan.(A)/(2),y=tan((C-A)/(2))tan.(B)/...

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  19. In Delta ABC, if the sides a,b,c are in geometric progression and the ...

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  20. In a Delta ABC if angle A=90^@, then cos^(-1)(( R)/(r2 +r3)) is equal

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