Some Applications of TrigonometryImportant Questions Radio towers are used for transmitting a range of communication services. including radio and television. Read More » An electric pole is 10 m high. A steel wire tied to top of the pole is affixed at a point on the ground Read More » A man on the top of a lighthouse observes the angle of depression of two ships on the opposite sides Read More » Passenger boarding stairs, sometimes referred to as boarding ramps, stair cars or aircraft steps, provide a mobile means Read More » India gate (formerly known as All India war memorial) is located near Karthavya path. (formerly Rajpath) at New Delhi. Read More » The angle of elevation of the top of a tower from the top of a house whose height is 15 metre is 30°. Also the angle of elevation of the top of the tower from the ground of the same house is 60°. Then find the height of the tower and the distance of the tower from the house. Read More » In the given figure AC is the diameter of the circle with centre O. CD is parallel to BE. Read More » From a point on a bridge across the river, the angles of depressions of the banks Read More » The angles of depression of the top and the bottom of a 8 m tall building from the top of a multi-storeyed Read More » A moving boat is observed from the top of a 150 m high cliff moving away from the cliff. Read More » The angle of elevation of a cloud from a point h metres above a lake is α and the angle of depression Read More » From an aeroplane vertically above a straight horizontal road, the angles of depression Read More » From the top of a light house, the angles of depression of two ships on the opposite sides of it are observed to be a and ẞ. If the height of the light house be h metres a Read More » An observer 1.5 m tall is 28.5 m away from a tower and the angle of elevation of the top of the tower from the eye of the observer is 45 degrees. Read More » An observer 1.5 m tall is 28.5 m away from a 30 m high tower. Determine the angle of elevation Read More » The angles of depression of the top and the bottom of a 50 m high building from the Read More » Two pillars of equal lengths stand on either side of a road which is 100 m wide Read More » A man on a cliff observes a boat at an angle of depression of 30° which is approaching Read More » The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 30 seconds, Read More » A boy whose eye level is 1.35 m from the ground, spots a balloon moving with the wind Read More » From a point on the ground, the angles of elevation of the bottom and the top of a Read More » A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of Read More » Two poles of equal heights are standing opposite each other on either side of the road, Read More » A person standing on the bank of a river observes that the angle of elevation of the top Read More » The angle of elevation of an aircraft from a point A on the ground is 60°. After a flight of 30 Read More » As observed from the top of a lighthouse, 100 m above sea level, the angle of depression Read More » From the top of a 45 m high light house, the angles of depression of two ships Read More » From the top of a 15 m high building, the angle of elevation of the top of a tower is found to be 30°. Read More » Radio towers are used for transmitting a range of communication services Read More » From the top of a building 60 m high, the angles of depression Read More » A pole 6m high is fixed on the top of a tower. The angle of elevation of the top of the pole Read More » A straight highway leads to the foot of a tower. A man standing Read More » From a point on the ground, the angles of elevation of the bottom Read More » The angle of elevation of the top of a building from the foot of the tower is 30° Read More » From a point on a bridge across a river, the angles of depression of the banks Read More » Gadisar Lake is located in the Jaisalmer district of Rajasthan. It was built by the King of Jaisalmer Read More » Two pillars are standing on either side of a 80 m wide road. Height of one pillar is 20 m more than the Read More » The angle of elevation of the top of a vertical tower from a point P on the ground is 60°. Read More » Mr. Vinod is a pilot in Air India. During the Covid-19 pandemic, many Indian passengers were Read More » A hot air balloon is rising vertically from a point A on the ground which is at distance of 100m from Read More » A boy is standing on the top of light house. He observed that boat P and boat Q Read More » One evening, Kaushik was in a park. Children were playing cricket. Birds were singing Read More » One observer estimates the angle of elevation to the basket of a hot air balloon to be 60°, while Read More » From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60 and the angle of depression of its foot is 30. Read More » A straight highway leads to the foot of a tower. A man standing on the top of the 75 m high tower observes two cars at Read More » From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower Read More » The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 600 and the angle of elevation Read More » From a point on the ground, the angle of elevation of the bottom and top of a transmission tower fixed at the top of 30m high building are 30° and 60° respectively. Read More » As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 60°. If one ship is exactly behind the other Read More » The angle of elevation of the top of a tower from a point on the ground which is 30 m away from the foot of the tower, is 30°. Find the height of the tower. Read More » The length of the shadow of a tower on the plane ground is √3 times the height of the tower. Find the angle of elevation of the sun. Read More » An aeroplane when flying at a height of 3000 m from the ground passes vertically above another aeroplane at an instant when the angles of elevation of the two planes Read More » A ladder set against a wall at an angle 45° to the ground. If the foot of the ladder is pulled away from the wall through a distance of 4 m,          Read More » A spherical balloon of radius r subtends an angle of 60° at the eye of an observer. If the angle of elevation of its centre is 45° from the same point, Read More » The angle of elevation of the top of a tower 24 m high from the foot of another tower in the same plane is 60°. The angle of elevation of the top of second tower Read More »
Radio towers are used for transmitting a range of communication services. including radio and television. Read More »
An electric pole is 10 m high. A steel wire tied to top of the pole is affixed at a point on the ground Read More »
A man on the top of a lighthouse observes the angle of depression of two ships on the opposite sides Read More »
Passenger boarding stairs, sometimes referred to as boarding ramps, stair cars or aircraft steps, provide a mobile means Read More »
India gate (formerly known as All India war memorial) is located near Karthavya path. (formerly Rajpath) at New Delhi. Read More »
The angle of elevation of the top of a tower from the top of a house whose height is 15 metre is 30°. Also the angle of elevation of the top of the tower from the ground of the same house is 60°. Then find the height of the tower and the distance of the tower from the house. Read More »
In the given figure AC is the diameter of the circle with centre O. CD is parallel to BE. Read More »
The angles of depression of the top and the bottom of a 8 m tall building from the top of a multi-storeyed Read More »
A moving boat is observed from the top of a 150 m high cliff moving away from the cliff. Read More »
The angle of elevation of a cloud from a point h metres above a lake is α and the angle of depression Read More »
From the top of a light house, the angles of depression of two ships on the opposite sides of it are observed to be a and ẞ. If the height of the light house be h metres a Read More »
An observer 1.5 m tall is 28.5 m away from a tower and the angle of elevation of the top of the tower from the eye of the observer is 45 degrees. Read More »
An observer 1.5 m tall is 28.5 m away from a 30 m high tower. Determine the angle of elevation Read More »
The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 30 seconds, Read More »
A person standing on the bank of a river observes that the angle of elevation of the top Read More »
The angle of elevation of an aircraft from a point A on the ground is 60°. After a flight of 30 Read More »
As observed from the top of a lighthouse, 100 m above sea level, the angle of depression Read More »
From the top of a 15 m high building, the angle of elevation of the top of a tower is found to be 30°. Read More »
A pole 6m high is fixed on the top of a tower. The angle of elevation of the top of the pole Read More »
Gadisar Lake is located in the Jaisalmer district of Rajasthan. It was built by the King of Jaisalmer Read More »
Two pillars are standing on either side of a 80 m wide road. Height of one pillar is 20 m more than the Read More »
The angle of elevation of the top of a vertical tower from a point P on the ground is 60°. Read More »
Mr. Vinod is a pilot in Air India. During the Covid-19 pandemic, many Indian passengers were Read More »
A hot air balloon is rising vertically from a point A on the ground which is at distance of 100m from Read More »
One observer estimates the angle of elevation to the basket of a hot air balloon to be 60°, while Read More »
From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60 and the angle of depression of its foot is 30. Read More »
A straight highway leads to the foot of a tower. A man standing on the top of the 75 m high tower observes two cars at Read More »
From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower Read More »
The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 600 and the angle of elevation Read More »
From a point on the ground, the angle of elevation of the bottom and top of a transmission tower fixed at the top of 30m high building are 30° and 60° respectively. Read More »
As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 60°. If one ship is exactly behind the other Read More »
The angle of elevation of the top of a tower from a point on the ground which is 30 m away from the foot of the tower, is 30°. Find the height of the tower. Read More »
The length of the shadow of a tower on the plane ground is √3 times the height of the tower. Find the angle of elevation of the sun. Read More »
An aeroplane when flying at a height of 3000 m from the ground passes vertically above another aeroplane at an instant when the angles of elevation of the two planes Read More »
A ladder set against a wall at an angle 45° to the ground. If the foot of the ladder is pulled away from the wall through a distance of 4 m,          Read More »
A spherical balloon of radius r subtends an angle of 60° at the eye of an observer. If the angle of elevation of its centre is 45° from the same point, Read More »
The angle of elevation of the top of a tower 24 m high from the foot of another tower in the same plane is 60°. The angle of elevation of the top of second tower Read More »
