Chapter 9 – Some Applications of Trigonometry
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From the point on a bridge across a river, the angles of depressions of the banks on opposite sides of the river are 30 degree and 45 degree , respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.
05
Oct
From the point on a bridge across a river, the angles of depressions of the banks on opposite sides of the river are 30 degree and 45 degree , respectively. If the bridge is at a height of 3 m from the banks, find the width of the river. find the width of the river. [...]
The angles of depression of the top and bottom of 8 m tall building from the top of a multi-storeyed building are 30 degree and 45 degree respectively. Find the height of the multi-storeyed building and the distance between the two buildings.
05
Oct
The angles of depression of the top and bottom of 8 m tall building from the top of a multi-storeyed building are 30 degree and 45 degree respectively. Find the height of the multi-storeyed building and the distance between the two buildings. The angle of elevation from top of tower from point on ground which [...]
The shadow of a tower standing on a level ground is found to be 40 m longer when Suns altitude is 30 than when it was 60. Find the height of the tower.
05
Oct
The shadow of a tower standing on a level ground is found to be 40 m longer when Suns altitude is 30 than when it was 60. Find the height of the tower. The shadow of a tower standing on a level ground is found to be 40 m longer when Suns altitude is 30 [...]
An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45 degree The height of the chimney is ?
05
Oct
An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45 degree The height of the chimney is ? An observer 1.5 m tall is 28.5 m away from a chimney. The angle of elevation of the top of [...]
An electrician has to repair an electric fault on a pole of height 5m. She needs to reach a point 1.3m below the top of the pole to undertake the repair work. What should be the length of the ladder that she should use which, when inclined at an angle of 60 degree to the horizontal, would enable her to reach the required position? Also, how far the foot of the pole should she place the foot of the ladder? ( You may take root 3 =1.73).
05
Oct
An electrician has to repair an electric fault on a pole of height 5m. She needs to reach a point 1.3m below the top of the pole to undertake the repair work. What should be the length of the ladder that she should use which, when inclined at an angle of 60 degree to the [...]
A tower stands vertically on the ground from a point on the ground which is 15 M away from the foot of the tower and the angle of elevation of the top of the tower is found to be 60 degree find the height of the tower
05
Oct
A tower stands vertically on the ground from a point on the ground which is 15 M away from the foot of the tower and the angle of elevation of the top of the tower is found to be 60 degree find the height of the tower The angle of elevation from top of tower [...]
The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m.
05
Oct
The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6 m. A kite is flying at a height [...]
A straight highway leads to the foot of the tower, a man standing at the top of the tower observes a car at an angle of depression of 30 degree which is approaching the foot of the tower with uniform speed. Six seconds later, the angle of depression of the car is found to be 60 degree . Find the time taken by the car to reach the foot of the tower from this point.
05
Oct
A straight highway leads to the foot of the tower, a man standing at the top of the tower observes a car at an angle of depression of 30 degree which is approaching the foot of the tower with uniform speed. Six seconds later, the angle of depression of the car is found to be [...]
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a man standing at the top of the tower observes a car at an angle of depression of 30 degree which is approaching the foot of the tower with uniform speed. Six seconds later ,
A straight highway leads to the foot of the tower ,
the angle of depression of the car is found to be 60 degree . Find the time taken by the car to reach the foot of the tower from this point. ,
A 1.2 m 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 degree. After some time, the angle of elevation reduces to 30 degree . (see Fig.). Find the distance travelled by the balloon during the interval.
05
Oct
A 1.2 m 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 degree. After some time, the angle of elevation reduces to 30 degree [...]
As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30 degree and 45 degree. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.
05
Oct
As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30 degree and 45 degree. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships. As observed from the top of [...]