A circus artist is climbing a 20 m long rope.which is tightly stretched and tied from the top of a vertical pole to the ground.Find the height of the pole,if the angle made by the rope with the ground level is `30^@`(see Fig 9.11)

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.

A stone falls from the top of a building and travels 53.9 m in the last second before it reaches the ground. Find the height of the building.

If the top of a temple subtends an angle of 30^@ at a point on the ground 300m away from its base,find the height of the temple.

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long.Find the height of the tower.

If the top of a temple subtends an angle of 60^@ at a point on the ground 400m away from its base,find the height of the temple.

When a telephone post is broken by a strong wind,its top touches the ground 3 metres a part from the base making an angle 60^@ .Find the height of the post and also the position at which the post is broken.

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.

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 tree of 15 m height was broken due to a heavy wind at a height of h m from the ground.But the broken ends were not completely separated and the top of the tree remained just touching the ground in a slanting position.If the broken portion of the tree makes an angle of 30^@ with the ground find h.

A 1.2m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground.The angle of elevation of the balloon from the eyes of the girl at any instant is 60^@ .After some time,the angle of elevation reduces to 30^@ (see Fig 9.13),Find the distance travelled by the balloon during the interval..