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A person, standing on the bank of a rive...

A person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is `60^0dot` When he retreates 20m from the bank, he finds the angle to be `30^0dot` Find the height of the tree and the breadth of the river.

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A person standing on the bank of a river observers that the angle subtends by a tree on the opposite bank is 60^(@) . When he retires 40 feet from the bank, he finds the angle to be 30^(@) . Find the height of the tree and the breadth of the river.

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A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45^@ , then which of the following statements is correct ?

A T.V. Tower stands vertically on a bank of a river. From a point on the other bank directly opposite to the tower, the angle of elevation of the top of the tower is 60 degrees. From a point 20m away this point on the same bank, the angle of elevation of the top of the tower is 30o . Find the height of the tower and the width of the river.

A statue 8 meters high standing on the top of a tower 64 meters high, on the bank of a river, subtends at a point A on the opposite bank, directly facing the tower, the same angle as subtends at the same point A by man of height 2 meters standing at the base of the tower. Prove that the breadth of the river is 16sqrt(6) meters.

The angle of elevation of the top of a tower as observed from a point in a horizontal plane through the foot of the tower is 32^0dot When the observer moves towards the tower a distance of 100m, he finds the angle of elevation of the top to be 63^0dot Find the height of the tower and the distance of the first position from the tower. [Take tan32^0=06248a n dtan63^0=1. 9626]

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RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In any triangle A B C , prove that: acos((B-C)/2)=(b+c)sin(A/2)

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  2. A tree stands vertically on a hill side which makes an angle of 15^0 w...

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  3. A person, standing on the bank of a river, observes that the angle sub...

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  4. The angle of elevation of to be top point P of the vertical tower PQ o...

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  5. The elevation of a tower at a station A due North of it is alpha and ...

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  6. If in a Delta A B C ,\ /A=45^0,\ /B=60^0,\ a n d\ /C=75^0 , find the ...

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  7. If in any Delta A B C ,\ /C=105^0,/B=45^0, a=2, then find bdot

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  8. In Delta A B C ,\ if\ a=18 ,\ b=24\ a n d\ c=30\ a n d\ /C=90^0 find ...

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  9. In any triangle A B C , prove that following : (a-b)/(a+b)=(tan((A-B)/...

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  10. In any triangle A B C , prove that following : (a-b)cosC/2\ = csin((A-...

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  11. In any triangle A B C , prove that following : c/(a-b)=(tan(A/2)+tan(B...

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  12. In any triangle A B C , prove that following : c/(a+b)=(1-tan(A/2)tan(...

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  13. In any triangle A B C , prove that following :(a+b)/c=(cos((A-B)/2))/(...

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  14. In any triangle A B C , prove that following: sin((B-C)/2)=(b-c)/a cos...

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  15. In any triangle A B C , prove that following: (a^2-c^2)/(b^2)=("sin"(A...

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  16. In any triangle A B C , prove that following: \ bsinB-csinC=asin(B-C)

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  17. In any triangle A B C , prove that following: \ \ a^2sin(B-C)=(b^2-c^2...

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  18. In any triangle A B C , prove that following: \ a(sin B-sin C)+b( sin ...

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  19. In any triangle A B C , prove that following: \ (a^2"sin"(B-C))/(sin A...

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  20. In any triangle A B C , prove that following: \ \ bcosB+c\ cos\ C="a c...

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