A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1m.

Two pillars of equal height stand on either side of a road which is 150m wide. At a point on the road between the pillars the angle of elevation of the top of the pillars are 60° and 30°. Find the height of each pillar and the position of the point on the road.

Two poles of equal heights are standing opposite each other on either side of the road,which is 80m wide.From a point between them on the road,the angles of elevation of the top of the poles are 60^@ and 30^@ respectively.Find the height of the poles and the distances of the point from the poles.

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. If the area of this field is 10500m^2 and the perpendicular distance between the two parallel sides is 100m, find the length of the side along the river.

A copper wire,3 mm in diameter, is wound about a cylinder whose length is 1.2 m, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88g/(cm^3) .

Two poles of equal heights are standing opposite to each other on either side of the road which is 80m wide. From a point between them on the road the angles of elevation of the top of the poles are 60° and 30° respectively. Find the height of the poles .

There is an agriculture field in the form of rectangle of length of 20 m and width 14 m. A 10 m deep well of diameter 7 cm is dug in a corner of the field and the earth taken out of the well is spread evenly over the remaining part of the field. Find the rise in its level.

The angle of elevation of a post of height 55m as seen from the foot of a man standing on a road is 60^@ .Find the distance of the man from the post.

An automobile vehicle has a mass of 1500 kg. What must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of 1.7 m s^-2 ?

A plane is in level flight at constant speed and each of its two wings has an area of 25 m^2 . If the speed of the air is 180 km/h over the lower wing and 234 km/h over the upper wing surface, determine the plane’s mass. (Take air density to be 1 kg m^-3) .

Two persons manage to push a motorcar of mass 1200 kg at a uniform velocity along a level road, the same motorcar can be pushed by three persons to produce an acceleration of 0.2 m s^-2 . With what force does each person push the motorcar? (Assume that all persons push the motorcar with the same muscular effort.)