A semielliptical archway over a one-way road has height of 3m and a width of 12m. The truck has a width of 3m and a height of 2.7m. Will the truck clear the opening of the archway?

The radius of a conical tent is 7 m and the height is 24 m. What is the slant height?

At Deoprayag (Garhwal, UP) river Alaknanda mixes with the river Bhagirathi and becomes river Ganga. Suppose Alaknanda has a width of 12 m, Bhagirathi has a width of 8m and Ganga has a width of 16m. Assume that the depth of water is same in the three rivers. Let the average speed of water in Alaknanda be 20 kmh^-1 and in Bhagirathi be 16 kmh^-1 . Find the average speed of water in the river Ganga.

The arch of a bridge has dimensions as shown, where the arch measure 2 m at its highest point and width is 6 m. What is the radius of the circle that contains the arch ?

A ball falls on the ground from a height of 2.0 m and rebounds up to a height of 1.5 m. Find the coefficient of restitution.

Two buildings are facing each other on either side of a road of width 12m. Form the top of the first building , which is 10m. High, the angle of elevation of the top of the second is 60^@ . What is the height of the second building?

A bridge has a parabolic arch that is 10 m high in the centre and 30 m wide at the bottom. Find the height of the arch 6m from the centre, on either sides.