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If the angle of elevation of the top and...

If the angle of elevation of the top and Monument when observed from a point on the roof of a building of 16 metre height is `60^@` and the angle of depression of the foot of the Monument, when observed from the same point is `30^@`, calculate the height of the Monument and the distance from Monument to the building.

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If the angle of elevation of the top of a Monument when observed form a point on the roof of a five storied building of 18 metre height is 45^@ and the angle of depression of the foot of the Monument, when observed from the same point 60^@ . What is the height of the MOnument?

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If the angle of elevation of the top of a chimney from a point on the horizontal plane passing through the foot of the chimney is 60^(@) and the angle of elevation from another point on the same plane at a distance of 24 metres away from the first point is 30^(@) . Calculate the height of the chimney. [sqrt(3)= 1.732 (approx). ]

From a point on the roof of five-storied building the angle of elevation of the top of a monument and that of angle of depression of the foot of the monument are 60^(@) and 30^(@) respectively. If the height of the building is 16 metres, calculate the height of the monument and the distance of the building from the monument.

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UNITED BOOK HOUSE-ANISHMALI UNTIED ACADEMY-EXERCISE
  1. Solve: 1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6[x!=1,2,3,4]

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  2. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy= 1 then find the value of (x^...

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  3. If (x^3+y^3) alpha(x^3-y^3) prove that (x^2+y^2) alpha(x^2-y^2).

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  4. If a,b,c, are in continued proportion then prove that a^2b^2c^2(1/a^3+...

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  5. If x/y= (a+2)/(a-2) show that (x^2-y^2)/(x^2+y^2)=(4a)/(a^2+4)

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  6. Prove that opposite angles of a cyclic quadrilateral are supplementary

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  7. State and Prove Pythagoras theorem.

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  8. Prove that cyclic trapezium is isoscles trapezium and the length of it...

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  9. O is any point inside a rectangle. Prove that OA^2+OC^2=OB^2+OD^2.

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  10. Answer any one question : Draw an equilateral triangle of side of 6 c...

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  11. Geometrically find the value of sqrt(9 ).

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  12. If tan theta = a/b then find the simpliest value of (b cos theta-a sin...

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  13. Prove that (2tan^2 (30^@))/(1-tan^2(30^@))+sec^2(45^@)-cot^2(45^@) = s...

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  14. Show that cosec^2(25^@)cot^2(65^@)=sin^2(25^@)+sin^2(65^@)+cot^2(65^@...

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  15. The height of 2nd tower is equal to 1/3rd the height of 1st tower. The...

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  16. If the angle of elevation of the top and Monument when observed from a...

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  17. Total surface area of a right circular pot open at one end is 2002 sq....

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  18. Three spheres made of copper having the lengths of 6cm, 8 cm and 10 cm...

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  19. The base diameter and height of a right circular cone arc 21 m and 14 ...

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  20. Draw the ogive (less than type) from following freqency distribution t...

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