Some Applicatio...

What are the angles of elevation of an aeroplane at a point C from the two places A and B, respectively?

At a point on the ground, the angle of elevation of a tower of height 'h' is α. On walking 120 m closer to the tower, the angle of elevation becomes β. Which of the following is the correct diagram for this situation?

An aeroplane, which is flying 2 km above the ground, is observed at an elevation of 60°. After 10 seconds, the elevation is observed to be 30°. Which of the following diagrams depicts the given situation?

A 2 m tall observer is 60 m away from an iron pillar. The angle of elevation of the top of the pillar from his eyes is 45°. Which of the following diagrams correctly depicts the given situation?

A ladder is placed against a wall such that the top of the ladder touches it at a height of 20 feet above the ground level. If the ladder makes an angle of 30° with the ground, find its length.

If the shadow of a 5 ft-tall man is 5 ft long, then the angle of elevation of the sun is

A pole stands vertically on the ground. Two buckets are placed on either side of the pole such that both the buckets and the foot of the pole lie on the same straight line. The angles of elevation of the top of the pole from the two buckets are 45° and 60°, respectively. If the height of the pole is 10 m, find the distance between the two buckets.

The diameter of a heap of sand in a conical shape is 30 m. The vertical angle is 60°. Find the slant height of the heap of sand.

The length of the shadow of a pole is times the height of the pole. Find the angle of elevation of the sun.

Two poles are 25 m and 15 m high and the line joining their tops makes an angle of 45° with the horizontal. What is the distance between the poles?

A flagstaff of height h is mounted on the top of a building. From a point on the ground, the angles of elevation of the foot and the top of the flagstaff are and , respectively. If k is the height of the building, then which of the following relations is true?

A tower with height h metres casts a shadow of length y metres when the sun's elevation is 45°. Which of the following relationships between h and y is true?

The height of a conical cap of a joker is 22 inches and the semi-vertical angle is 45°. Find the slant height of the cap.

The length of the shadow of a pole is times the height of the pole. What is the elevation of the sun's altitude?

A pole stands vertically on the ground. From a point on the ground which is 30 m away from the foot of the pole, the angle of elevation of the top of the pole is 30^o. Find the height of the pole.