A circus artist is climbing a 20m long r...

A circus artist is climbing a 20m 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 the given figure)

Text Solution

Verified by Experts

The correct Answer is:

10m

Topper's Solved these Questions

SOME AAPLICATIONS OF TRIGONOMETRY
KUMAR PRAKASHAN|Exercise Test Your Skills|5 Videos
SOME AAPLICATIONS OF TRIGONOMETRY
KUMAR PRAKASHAN|Exercise Practice Thoroughly|7 Videos
SOME AAPLICATIONS OF TRIGONOMETRY
KUMAR PRAKASHAN|Exercise Other Important Examples|3 Videos
REAL NUMBERS
KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|26 Videos
STATISTICS
KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

Similar Questions

Explore conceptually related problems

A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60^(@) . From another point 20m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30^(@) (see the given figure). Find the height of the tower and the width of the canal.

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

A pole stands erect on the ground. If the angle of elevation of the top of the pole from a point 90m away from the foot of the pole is 30^(@) , find the height of the pole.

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 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.

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

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.

The angle of elevation of the top of a tower from a point O on the ground, which is 450 m away from the foot of the tower, is 30^(@) . Find the height of the tower.

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 the given figure). FInd the distance travelled by the balloon during the interval.

KUMAR PRAKASHAN-SOME AAPLICATIONS OF TRIGONOMETRY-Exercise9.1

A circus artist is climbing a 20m long rope, which is tightly stretche...
Text Solution
|
A tree breaks due to storm and the broken part bends so that the top o...
Text Solution
|
A constractor plans to install two slides for the children to play in ...
Text Solution
|
The angle of elevation of the top of a tower from a point on the groun...
Text Solution
|
A kite is flying at a height of 60m above the ground. The string attac...
Text Solution
|
A 1.5m tall boy is standing at some distance from a 30m tall building....
Text Solution
|
From a point on the ground, the angles of elevation of the bottom and ...
Text Solution
|
A statue, 1.6m tall, stands on the top of a pedestal. From a point on ...
Text Solution
|
The angle of elevation of the top of a building from the foot of the t...
Text Solution
|
Two poles of equal heights are standing opposite each other on either ...
Text Solution
|
A TV tower stands vertically on a bank of a canal. From a point on the...
Text Solution
|
From the top of a 7m high building, the angle of elevation of the top ...
Text Solution
|
As observed from the top of a 75m high lighthouse from the sea-level, ...
Text Solution
|
A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...
Text Solution
|
A straight highway leads to the foot of a tower. A man standing at the...
Text Solution
|
The angles of elevation of the top of a tower from two points at a dis...
Text Solution
|