Maths

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 [...]

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. 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 [...]

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. As observed from the top of [...]

From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60 degree and the angle of depression of its foot is 45 degree. Determine the height of the tower. From the top of a 7 m high building the angle of elevation of the [...]

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 degree . From another point 20 m away from this point on the line joing this point to the foot of [...]

Two poles of equal heights are standing opposite to each other, on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of top of the poles are 60 degree and 30 degree respectively. Find the height of the poles. on either side [...]