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A Tower stands at the centre of a circul...

A Tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (a) subtends an angle of `60^(@)` at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30°. The height of the tower is

A

`(2a)/(sqrt(3))`

B

`2a sqrt(3)`

C

`(a)/(sqrt(3))`

D

`a sqrt(3)`

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Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
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  2. If the area of the triangle ABC is a^(2)-(b-c)^(2) then its circumradi...

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  3. If for DeltaABC, cotA cotB cotC gt0 then the triangle is

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  4. In Delta ABC, if c(a+b) cos B//2=b (a+c) cos C//2, then the triangle i...

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  5. In DeltaABC if tan A+ c tan C=(a+c) not ((B)/(2)) then the triangle i...

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  6. The area of the right angled triangle in terms of its circum radius an...

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

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

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  9. A Tower stands at the centre of a circular park. A and B are two point...

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  10. If each side of length a of an equilateral triangle subtends an angle ...

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  11. A pole of height h stands at one corner of a park in the shape of an e...

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  12. A tower of height h standing at the centre of a square with sides of l...

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  13. The elevation of a tower due north of a station A is alpha and at anot...

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  14. The height of the tower vertically at the ortho centre of the triangle...

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  15. Assertion (A) : In a Delta ABC if r(1)=2r(2)=3r(3) then a:b=5:4 Reas...

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  16. In any triangle ABC, r(1),r(2)+r(2)r(3)+r(3)r(1)=....

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

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

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  19. IF the angles of triangle are in the ratio 1:1:4 then the ratio of the...

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

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