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RS Aggarwal Test: Some Applications of Trigonometry - Question 1

The ___________ of an object is the angle formed by the line of sight with the horizontal when the object is below the horizontal level.

RS Aggarwal Test: Some Applications of Trigonometry - Question 2

If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is 45°, then the value of ‘x’ is

RS Aggarwal Test: Some Applications of Trigonometry - Question 3

An observer 1.5m tall is 23.5m away from a tower 25m high. The angle of elevation of the top of the tower from the eye of the observer is

RS Aggarwal Test: Some Applications of Trigonometry - Question 4

The angle of elevation of the sun when the shadow of a pole of height ‘h’ metres is √3 h metres long is

RS Aggarwal Test: Some Applications of Trigonometry - Question 5

A kite is flying at a height of 90m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. The length of the string, assuming that there is no slack in the string is

RS Aggarwal Test: Some Applications of Trigonometry - Question 6

If the altitude of the sun is 60°, the height of a tower which casts a shadow of length 90m is

RS Aggarwal Test: Some Applications of Trigonometry - Question 7

The angles of elevation of the top of a tower from two points on the ground at distances 8m and 18m from the base of the tower and in the same straight line with it are complementary. The height of the tower is

RS Aggarwal Test: Some Applications of Trigonometry - Question 8

A contractor planned to install a slide for the children to play in a park. If he prefers to have a slide whose top is at a height of 1.5m and is inclined at an angle of 30° to the ground, then the length of the slide would be

RS Aggarwal Test: Some Applications of Trigonometry - Question 9

A kite is flying at a height of 200m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 45°. The length of the string, assuming that there is no slack in the string is

RS Aggarwal Test: Some Applications of Trigonometry - Question 10

If in a ΔABC,∠C = 90°, and ∠B = 45°, then state which of the following is true?

RS Aggarwal Test: Some Applications of Trigonometry - Question 11

A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. If the angle made by the rope with the ground level is 45°, then the height of the pole is

RS Aggarwal Test: Some Applications of Trigonometry - Question 12

The ratio between the height and the length of the shadow of a pole is 1 : √3, then the sun’s altitude is

RS Aggarwal Test: Some Applications of Trigonometry - Question 13

An electric pole is tied from the top to a point (some distance away from the base) on the ground using a string. The ratio of the height of pole to the string is √3 : 2, then the angle of elevation of the top from the point on the ground is

RS Aggarwal Test: Some Applications of Trigonometry - Question 14

A circus artist is climbing a long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The ratio of the height of the pole to the length of the string is 1 :√2. The angle made by the rope with the ground level is

RS Aggarwal Test: Some Applications of Trigonometry - Question 15

Two men are on opposite sides of a tower. They observe the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 100m, then the distance between them is

RS Aggarwal Test: Some Applications of Trigonometry - Question 16

Two men are on the same side of a tower. They observe the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 100m, then the distance between them is

RS Aggarwal Test: Some Applications of Trigonometry - Question 17

A ladder 12m long just reaches the top of a vertical wall. If the ladder makes an angle of 45° with the wall, then the height of the wall is

RS Aggarwal Test: Some Applications of Trigonometry - Question 18

A pole of height 60m has a shadow of length 20√3m at a particular instant of time. The angle of elevation of the sun at this point of time

RS Aggarwal Test: Some Applications of Trigonometry - Question 19

A boy is flying a kite, the string of the kite makes an angle of 30° with the ground. If the height of the kite is 18m, then the length of the string is

RS Aggarwal Test: Some Applications of Trigonometry - Question 20

Two men are on opposite sides of a tower. They observe the angles of elevation of the top of the tower as 60° and 45° respectively. If the height of the tower is 60m, then the distance between them is

RS Aggarwal Test: Some Applications of Trigonometry - Question 21

In a right ΔXYZ , XZ is the hypotenuse of length 12cm and ∠X = 45^{°}. The area of the triangle is

RS Aggarwal Test: Some Applications of Trigonometry - Question 22

If the length of a shadow of a tower is increasing, then the angle of elevation of the sun is

RS Aggarwal Test: Some Applications of Trigonometry - Question 23

If two towers of height x and y subtend angles of 30 degree and 60 degree respectively at the centre of a line joining their feet then find the ratio of x and y

RS Aggarwal Test: Some Applications of Trigonometry - Question 24

A 1.2m tall boy stands at a distance of 2.4m from a lamp post and casts a shadow of 3.6m on the ground. The height of the lamp post is

RS Aggarwal Test: Some Applications of Trigonometry - Question 25

If the angles of elevation of a tower from two points at distances ‘m’ and ‘n’ where m > n from its foot and in the same line from it are 30° and 60°, then the height of the tower is

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