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## From the top of building 50 m high the angle of elevation of the top of a tower is found to be 300An….

From the top of building 50 m high the angle of elevation of the top of a tower is found to be 300 And the angle of depression of the foot of the tower is also 300. Find distance between tower and the building.

## Diameter of the base of a water – filled inverted right circular cone is 26 cm. A cylindrical pipe….

Diameter of the base of a water – filled inverted right circular cone is 26 cm. A cylindrical pipe, 5 mm in radius, is attached to the surface of the cone at a point. The perpendicular distance between the point and the base (the top) is 15 cm. The...

## Rakhal is looking for a field where he can graze his cow. He finds a local farmer, Gopal, who agrees….

Rakhal is looking for a field where he can graze his cow. He finds a local farmer, Gopal, who agrees to rent his field to Rakhal for Rs. 1000 a year. Rakhal finds a post in the field and ties his cow to the post with a 25 feet...

## A square tin sheet of side 12 inches is converted into a box with open top in the following steps: T….

A square tin sheet of side 12 inches is converted into a box with open top in the following steps: The sheet is placed horizontally; Then, equal sized squares, each of side x inches, are cut from the four corners of the sheet; Finally, the four resulting sides are...

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## Three horses are grazing within a semi-circular field. In the diagram given below, AB is the diamete….

Three horses are grazing within a semi-circular field. In the diagram given below, AB is the diameter of the semi-circular field centre at O. The horses are tied up at P, R and S such that PO and RO are the radii of semi-circles with centres at P and...

## The figure shows a rectangle ABCD with a semi-circle and a circle inscribed inside it as shown. What….

The figure shows a rectangle ABCD with a semi-circle and a circle inscribed inside it as shown. What is the ratio of the area of the circle to that of the semi-circle?

## A cone of height 7 cm. and base radius 3 cm. is carved out of a rectangular block of wood 10 cm x 5 ….

A cone of height 7 cm. and base radius 3 cm. is carved out of a rectangular block of wood 10 cm x 5 cm x 2cm. what is the percentage of the wood wasted?

## The thickness of a hollow cylinder is 3.5 cm and its outside diameter is 35 cm. find the cost of pai….

The thickness of a hollow cylinder is 3.5 cm and its outside diameter is 35 cm. find the cost of painting its surface at the rate of 5 paise /sq. cm if the cylinder is 70 cm long?

## A pole has to be erected on the boundary of a circular park of diameter 13 metres in such a way that….

A pole has to be erected on the boundary of a circular park of diameter 13 metres in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. The distance of the pole from one...

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