A carpenter makes stools for electricians with a square top of side 0.5m and at a height of 1.5 m above the ground. Also, each leg is inclined at an angle of `60^@` to the ground. Find the length of each leg and also the lengths of two steps to be put at equal distances.

A rhombus of side 20cm has two angles of 60^0 each. Find the length of the diagonals.

The two legs of a right triangle are equal and the square of the hypotenuse is 50. Find the length of each leg.

A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches a window 6 m above the ground. Find the length of the ladder.

A tree is broken at a height of 5 m from the groundand its top touches the ground at a distance of 12 m from the base of the tree. Find the original height of the tree

The two legs of a right triangle are equal and the square of its hypotenuse is 50cm^(2) . Find the length of each leg.

A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30^@ to the ground, whereas for elder children, she wants to have a steep slide at a height of 3m, and inclined at an angle of 60^@ to the ground. What should be the length of the slide in each case?

A temple and a flagstaff surmounted at its top, each subtends equal angle of 30^(@) at a point on the ground. If the height of the temple is 10 m, find the height of the flagstaff.

A person's eye is at a height of 1.5 m . He stands infront of a 0.3 m long plane mirror whose lower end is 0.8m above the ground. The length of the image he sees of himself is

A rope of length 14 (2)/(5) m is cut into 12 equal pieces. Find the length of each piece. Also, find the length of a new rope formed by joining 20 such equal pieces.

Find the gravitational potential energy of 1 kg mass kept at a height of 5 m above the ground Calculate its kinetic energy when it falls and hits the ground. Take 10 m s^(-2)