Some Applications of TrigonometryImportant Questions 36. Elevated water storage tanks are built to store and supply water to nearby colonies. In the diagram given above, AB is an elevated water tank and CD is a nearby multistorey building. The building is 54 metres away from the water tank. Read More » 32. A kite is flying at a height of 60 m above the ground level. Ravi, standing at the roof of the house is holding the string straight Read More » 34 (a) The angle of elevation of the top of a building from a point A, on the ground, is 30 deg On moving a distance of 24 m towards its base to the point B, the angle Read More » 34(b) A tower stands vertically on the ground. A man standing at the top of the tower observes his friend at an angle of depression of 30 deg who is approaching the foot of the tower with a uniform speed. Read More » 36. Tejas is standing at the top of a building and observes a car at an angle of depression of 30° as it approaches the base of the building at a uniform speed. 6 seconds later, the angle of depression increases to 60°, and at that moment, the car is 25 m away from the building. Read More » 38. 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 »
36. Elevated water storage tanks are built to store and supply water to nearby colonies. In the diagram given above, AB is an elevated water tank and CD is a nearby multistorey building. The building is 54 metres away from the water tank. Read More »
32. A kite is flying at a height of 60 m above the ground level. Ravi, standing at the roof of the house is holding the string straight Read More »
34 (a) The angle of elevation of the top of a building from a point A, on the ground, is 30 deg On moving a distance of 24 m towards its base to the point B, the angle Read More »
34(b) A tower stands vertically on the ground. A man standing at the top of the tower observes his friend at an angle of depression of 30 deg who is approaching the foot of the tower with a uniform speed. Read More »
36. Tejas is standing at the top of a building and observes a car at an angle of depression of 30° as it approaches the base of the building at a uniform speed. 6 seconds later, the angle of depression increases to 60°, and at that moment, the car is 25 m away from the building. Read More »
38. 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 »