CUET General Test: GeometryTrigonometry. Free, no login required.

If the height of a pole is $2\sqrt{3}$ meters and the length of its shadow is 2 meters. The angle of elevation of the sun is:

If a 30 meter ladder is placed against a 15 meter wall such that it just reaches the top of the wall, then the elevation of the ladder with wall is?

A ladder leaning against a wall makes an angle of 60° with the ground. If the length of the ladder is 19 m, find the distance (in meters) from the foot of the ladder from the wall.

On the level ground, the angle of elevation of a tower is $30°$. On moving 20 m nearer, the angle of elevation is $60°$. The height of the tower is:

The angle of elevation of a cloud from a point 200 meter above a water body is 30° and the angle of depression of its reflection in the water body is 60°. The height of the cloud in meter is:

A pole casts a shadow of length $2\sqrt{3}$ meter on the ground when the sun's elevation is 60°. The height of the pole is:

The angle formed by the line of sight with the horizontal level when the point is below the horizontal level is called

A statue 1.46 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point, the angle of elevation of the top of the pedestal is 45°. The height of the pedestal (round the answer up to one decimal place), is:

The angle of elevation from a point situated at a distance of 70 meter from the base of a tower is $60^0$. The height of the tower is:

If the angles of elevations of the top of a tower from two points at distances a and b from the base and in the same straight line with it are complementary then the height of the tower is

If the length of the shadow of a tower is $\sqrt{3}$ times its height, then the angle of elevation of the sun is:

If a wooden block is placed against a 15 meter tree such that it just reaches the top of the tree, with the angle of elevation of the tree is 30°, then find the length of the wooden block?

From a point 60 m away from the foot of a building, the angle of elevation of the top of the building is 30°. What is the height of the building?

A tower is 20 m high. The angle of elevation of the top of the tower from a point on the ground is 30°. Find the distance of the point from the base of the tower.

From the top of the tower of 24 meter height, a man observes a child playing on the ground at an angle of depression of 30°. After sometimes, he observed that the angle of depression is 60°. Find the distance covered by kid.

The cliff of a mountain is 180 m high, and the angles of depression of two ships on the same side of cliff are 30° and 60°. Find the distance between the two ships in meter.

A tower stands vertically on the ground. From a point on the ground, which is 15 m away from the foot to the tower, the angle to elevation to the top to the tower is found to be 60°. Find the height to the tower in meter.

A tower is 50 m high. The angle of elevation of the top of the tower from a point on the ground is 30°. Find the distance of the point from the base of the tower.

The angle of elevation of the top of a tower from a point is 30°. When the observer moves 50 meter closer, the angle becomes 60°. Find the height of the tower.

The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is:

Two men are on opposite side of tower. They measure the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 50 meters, find the distance between the two men.

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°. Determine the height of the chimney?

The angle of elevation of the top of a tower from a certain point is 60°. If the observer moves 10 m away from the tower, the angle of elevation of the top of the tower decreases by 15°. The height of the tower is:

From the top of a tower, the angles of depression of two objects A and B (situated on the ground on the same side of the tower) are observed to be 30° and 60°, respectively. If the distance between the objects is 200√3 m, then the height of the tower is?

The shadow of the pole standing on a level surface is found to be 5 m shorter when the sun's elevation is 60° than when it is 45°. What is the height of the pole?

A 2 m tall boy is 30 m away from a tower. The angle of elevation of the top of the tower from his eye is 45°. What is the height of the tower?

From the top of a building 78 m high, the angles of depression of the bottom and the top of a tower are observed to be 45° and 30° respectively. Determine the approximate height of the tower so observed?

The tops of two poles of height 38 m and 56 m are connected by a cable. If the cable makes an angle of 30° with the horizontal, then the distance between the bases of the poles is:

The tops of two poles of height 22 m and 31 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire (in m) is:

The angle of elevation of the sun, when the length of the shadow of a tower is 1/√3 times the height of the tower, is