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?

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 )

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?

A boy observed the top of an electric pole at an angle of elevation of 60^(@) when the observation point is 8 meters away from the foot of the pole. Find the height of the pole.

A ladder makes an angle of 60^(@) with the ground, when placed leaning on a wall. If the foot of the ladder is 8m away from the wall, then the length of the ladder is ………m

A wire of length 18 m had been tied with electric pole at an angle of elevation 30^(@) with the ground. Because it was covering a long distance, it was cut and tied at an angle of elevation 60^(@) with the ground. How much length of the wire was cut?

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 ?

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.

A swimmer starts to swim from point a to cross a river. He wants to reach point B on the opposite side of the river. The line AB makes an angle 60^(@) with the river flow as hown. The velocity of the swimmer in still water is same as that of the water (i) In what direction should he try to direct his velocity ? Calculate angle between his velocity anf river velocity. (ii) Find the ratio of the time taken to cross the river in this situation to the minimum time in which he can cross this river.

A man whose mass is m kg jumps vertically into air from a sitting position in which his centre of mass is at a height h_(1) from the ground. When his feet are just about to leave the ground his centre of mass is h_(2) from the ground and finally rises to h_(3) when he is at top of the jump . What is the average upwards force exerted by the ground on him ?