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 ?

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 angle of elevation of the top of an adjustable pole from a point on the ground is 30^(@) . What will be the angle of elevation of the top of the pole if its height is tripled?

The length of the shadow of a 10m high tree is ……..m when the angle of elevation of the Sun is 30^(@) .

The angle of elevation of the top of a tower from a point P on the ground is alpha . After walking a distance of d m towards the foot of the tower, the angle of elevation of the top of the tower is found to be beta . Then, ………..holds good.

A tree stands vertically on a hill side which makes an angle of 15^(@) with the horizontal. From a point on the ground 35m . Down the hill from the base of the tree, the angle of elevation of the top of the tree is 60^(@) . Find the height of the tree.

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?

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

From a point P on the ground the angle of elevation of the top of a 10m tail building is 30^(@) . A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^(@) . Find the length of the flagstaff and the distance of the building from the point P. (You may take sqrt3= 1.732 )

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower, is 30^(@) . Find the height of the tower.