A contractor wants to set up a slide for the children to play in the park. He wants to set it up at the height of 2 m and by making an angle of `30^(@)` with the ground. What should be the length of the slide?

You want to erect a pole of height 10 m with the support of three ropes. Each rope has to make an angle 30^(@) with the pole. What should be the length of the rope?

An electrician wants to repair an electric connection on a pole of height 9 m. He needs to reach 1.8 m below the top of the pole to do repair work. What should be the length of the ladder which he should use, when he climbs it at an angle of 60^(@) with the ground? What will be the distance between foot of the ladder and foot of the pole?

A slide projector has to project a 35 mm slide (35 mm xx 23 mm) on a 2 m xx 2m screen at a distance of 10 m from the lens. What should be the focal length of the lens in the projector ?

A kite is flying at a height of 60 m above the ground.The string attached to the kite is tied at the ground it makes an angle of 60^@ . Assuming that the string is straight, find the length of the string . (sqrt3 =1.732 )

The top of a 15m high tower make an angle of elevation of 60^(@) with the bottom of an electronic pole and angle of elevation of 30^(@) with the top of the pole. What is the height of the electric pole?

An electric field of magnitude 1000 NC ^(-1) is produced between two parallel platees having a separation of 2.0 cm as shown in figure(29.E4) (a) What is the potential difference between the plates? (b) With what minimum speed should an electron be projected from the lower plate in the direction of the field so that it may reach the upper plate? ( c) Suupose the electron is projected from the lower plate with the speed calculated in part (b) . The direction of projection makes an angle of 60@ with the field. Find the mazimum height reached by the electron.