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?

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?

The top of two poles of height 16m and 10m are connected by a wire. If the wire makes an angle of 30^(@) with the horizontal, then its length is……….m

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 constractor 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 1.5m, 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 ?

An electrician has to repair an electric fault on a pole of height 5m. She needs to reach a point 1.3m below the top of the pole to undertake the repair work (see the given figure). What should be the length of the ladder that she should use which, when inclined at an angle of 60^(@) to teh horizontal, would enable her to reach the required position? Also, how far from the foot of the pole shoudl she place the foot of the ladder? (you may take sqrt3= 1.73 )

A uniform rope of length 12 mm and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. What is the wavelength of the pulse when it reaches the top of the rope?

3 boys are pulling a heavy trolley by means of 3 ropes. The boy in the middle is exerting a pull of 100 N . The other 2 boys, whose ropes both make an angle of 30^(@) with the centre rope, are pulling with forces of 50 sqrt(3)N & 100 sqrt(3)N . Find the magnitude of the resultant pull the trolley. Consider all the forces in the same plane.

A wire attached to a vertical pole of height 18m is 24m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut?

A uniform rope of length L and mass m, hangs vertically from a rigid support. A block of mass m_(2) is attached to the free end of the rope. A transverse pulse of wavelength lamda_(1) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is lamda_(2). . The ratio lamda_(2)//lamda_(1) is ......