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From roof of a multi storeyed building a...

From roof of a multi storeyed building a man saw a running bus came straight towards the building. If the angle of depression in 6 minutes raise from `30^@` and `60^@`, then when the bus will come at the foot of the building?

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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.

A man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to changed from 30^@ to 45^@ , how soon after this will the car reach the observation tower? Give your answer correct to the nearest second.

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

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.

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?

From the point on the top of a palace of 60 metres height, it is observed that the angle of depression of the tip and the foot of a tower are 30^@ and 60^@ respectively. Find the height of the tower.

The bottom of a light house and bottom of the mast of two ships are on the same straight line and the angles of depression from the light house at the bottom of mast of two ships are 60^(@) and 30^(@) respectively. If the distance of the points at the bottom of the light house and the bottom of the mast of first ship is 150 metres, calculate how far will the mast of the other ship from the light house be and what will the height of light house be.

From the top of a building, the angle of elevation of the top of a cell tower is 60^(@) and the angle of depression to its foot is 45^(@) . If distance of the building from the tower is 7m, then find the height ofthe tower.

The angle of depression of a standing bus at stopped B from the top L of a vertical monument of height 400 metres is 60^@ . Find the distance of the bus from the foot of the monument.

From a point on the roof a house 11 metres height, it is observed that the angles of depression of the tip and foot of a lamp post are 30^@ and 60^@ respectively. Find the height of the lamp post.

UNITED BOOK HOUSE-HATI HIGH SCHOOL-EXERCISE
  1. If x= (sqrt7+sqrt3)/(sqrt7-sqrt3) and xy = 1, find the value of (x^2+3...

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  2. If a^2/(b+c)=b^2/(a+c)=c^2/(a+b)=1, then show that 1/(1+a)+1/(1+b)+1/(...

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  3. 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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  4. State and prove Pythagoras theorem.

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

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  6. AB and CD are two chords of a cricle. Extended BA and CD intersect at ...

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  7. AD is a median of triangleABC. A straight line parallel to BC intersec...

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  8. Draw a triangle whose one of the side is 7.2 cm and adjacent angles of...

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  9. Draw a rectangle having sides 10 cm and 5 cm. Now draw a square whose ...

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  10. One of the acute angle of a right angled triangle is 30^@. Find the o...

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  11. If tan theta = 3/4 show that sqrt((1-sin theta)/(1+sin theta)) = 1/2.

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  12. If A+B = 90^@ , show that tan A + tan B = (cosec^2B)/sqrt(cosec^2B-1)

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  13. A house of 15 metres hegiht, stands on one side of a park and from a ...

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  14. From roof of a multi storeyed building a man saw a running bus came st...

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  15. Determine the volume of a solid right circular cone which can be made ...

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  16. The length of outer and inner diameter of a hallow right circular cyli...

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  17. If two solid spheres with the radii of 1 cm and 6 cm lengths are melte...

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  18. Find the median of the following distribution table:

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  19. Find the mean of the following distribution table:

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  20. Find the mode of the following data.

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