# CBSE Class 10 Mathematics Trigonometry Assignment Set A

Read and download free pdf of CBSE Class 10 Mathematics Trigonometry Assignment Set A. Get printable school Assignments for Class 10 Mathematics. Class 10 students should practise questions and answers given here for Chapter 9 Some Applications Of Trigonometry Mathematics in Class 10 which will help them to strengthen their understanding of all important topics. Students should also download free pdf of Printable Worksheets for Class 10 Mathematics prepared as per the latest books and syllabus issued by NCERT, CBSE, KVS and do problems daily to score better marks in tests and examinations

## Assignment for Class 10 Mathematics Chapter 9 Some Applications Of Trigonometry

Class 10 Mathematics students should refer to the following printable assignment in Pdf for Chapter 9 Some Applications Of Trigonometry in Class 10. This test paper with questions and answers for Class 10 Mathematics will be very useful for exams and help you to score good marks

### Chapter 9 Some Applications Of Trigonometry Class 10 Mathematics Assignment

Question. The angle of elevation of the Sun when the shadow of a pole h m high is 3 h m long is
(a) 0°
(b) 30°
(c) 45°
(d) 60°

Question. A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground, then the height of pole, if the angle made by the rope with the ground level is 30°, is
(a) 5 m
(b) 10 m
(c) 15 m
(d) 20 m

Question. A kite is flying at a height of 80 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with ground is 60°, then the length of the string is
(a) 62.37 m
(b) 92.37 m
(c) 52.57 m
(d) 72.57 m

Question. From the top of a 60 m high tower, the angle of depression of a point on the ground is 30°. The distance of the point from the foot of tower is
(a) 180 m
(b) 60 3 m
(c) 150 m
(d) 30 3 m

Question. The figure shows the observation of point C from point A. The angle of depression fromA is
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Question. If a pole 6 m high casts a shadow2 3m long on the ground, then the Sun’s elevation is
(a) 60°
(b) 45°
(c) 30°
(d) 90°

Question. If 300 3m high tower makes an angle of elevation at a point on ground which is 300 m away from its foot, then the angle of elevation is
(a) 0°
(b) 30°
(c) 45°
(d) 60°

Question. A ramp for disabled people in a hospital have slope 30°. If the height of the ramp be 1m, then the length of ramp is
(a) 2 m
(b) 0.5 m
(c) 2 3m
(d) 1 m

Question. The angle of depression of the car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower is
(a) 150 m
(b) 75 m
(c) 150√3m
(d) (150/√3)m

Question. The length of a string between a kite and a point on the ground is 85 m. If the string makes an angle θ with the ground level such that tanθ = 15/8 , then the height of kite is
(a) 75 m
(b) 78.05 m
(c) 226 m
(d) None of these

Question. A tower stands near an airport. The angle of elevation θ of the tower from a point on the ground is such that its tangent is 5/12. The height of the tower, if the distance of the observer from the tower is 120 m is
(a) 40 m
(b) 50 m
(c) 60 m
(d) 70 m

Question. The top of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with the horizontal, then the length of the wire is
(a) 12 m
(b) 10 m
(c) 8 m
(d) 6 m

Question. A ladder, leaning against a wall,makes an angle of 60° with the horizontal. If the foot of the ladder is 9.5m away from the wall. The length of the ladder is
(a) 10 m
(b) 16 m
(c) 18 m
(d) 19 m

Question. From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively, then the height of the tower is
(a) 14.64 m
(b) 28.64 m
(c) 38.64 m
(d) 19.64 m

Question. An observer, 1.5 m tall is 20.5 m away from a tower 22 m high, then the angle of elevation of the top of the tower from the eye of the observer is
(a) 30°
(b) 45°
(c) 60°
(d) 90°

Question. The angle of elevation of the top of the tower from a point, which is 40 m away from the base of the tower in the horizontal level, is 45°. Find the height of the tower.
(a) 70 m
(b) 60 m
(c) 40 m
(d) 30 m

Question. The angle of elevation of the top of a building 150 m high, from a point on the ground is 45°. The distance of the point from foot of the building is
(a) 120 m
(b) 130 m
(c) 140 m
(d) 150 m

Question. A bridge on a river makes an angle of 45° with its edge. If the length along the bridge from one edge to the other is 150 m, then the width of the river is
(a) 107.75 m
(b) 105 m
(c) 75 m
(d) 106.05 m

### Case Based MCQs

A. There are two balcony in a house. First balcony is at a height of 3 m above the ground and other balcony is 6 m vertically above the lower balcony. Ankit and Radha are sitting inside the two balcony at points G and F, respectively. At any instant, the angles of elevation of a Parachute from these balcony are observed to be 60° and 45° as shown below

Based on the above information, answer the following questions.

Question. Who is more closer to the Parachute.
(a) Ankit
(c) Both are at equal distance
(d) Can’t be determined

Question. Value of DF is equal to
(a) (h/√3)m
(b) h√3m
(c) (h/2)
(d) h m

Question. Value of h is
(a) 2
(b) 3(√3 + 1)
(c) 4
(d) 3(√3 − 1)

Question. Height of the Parachute from the ground is
(a) 4 m
(b) 3(4− √3)
(c) 8 m
(d) 3(4 + √3)

Question. If the Parachute is moving towards the building, then both angles of elevation will
(a) remain same
(b) increases
(c) decreases
(d) Can’t be determined

B. A cyclist is climbing through a 20 m long rope which is highly stretched and tied from the top of a vertical pole to the ground as shown below Based on the above information, answer the following questions.

Question. The height of the pole, if angle made by rope with the ground level is 60°, is
(a) 15 m
(b) 10√3 m
(c) (10/√3)m
(d) (15/√2)m

Question. If the angle made by the rope with the ground level is 60°, then the distance between artist and pole at ground level is
(a) (10/√2)m
(b) 10√2m
(c) 10 m
(d) 10√3 m

Question. If the angle made by the rope with the ground level is 45°. The height of the pole is
(a) 2.5 m
(b) 10 m
(c) 7.5 m
(d) 10√2 m

Question. If the angle made by the rope with the ground level is 45° and 3 m rope is broken, then the height of the pole is
(a) (17/√2)m
(b) 7 m
(c) 14 m
(d) 7√2 m

Question. Which mathematical concept is used here?
(a) Similar triangles
(b) Pythagoras theorem
(c) Application of trigonometry
(d) None of the above

2. A kite is flying at a height of 60m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string to the ground is 60o. Find the length of the string assuming that there is no slack in the string.
[Ans-40√3M]

The angle of elevation of the top of a hill at the foot of the tower is 60o and the angle of elevation of the top of  the tower from the foot of the hill is 30o. If the tower is 50m high, find the height of the hill. [Ans-150m]

LEVEL – 3

1. From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60o and the angle of depression of the foot of the tower is 30o. Find the height of the tower. [Ans-28m]
2. The angle of elevation of an aeroplane from a point on the ground is 45o. After flight for 15 seconds the elevation changes to 30o. If the aeroplane is flying at a height of 3000m. Find the speed of the aeroplane.

[Ans-527.4km/h]

3. The angle of elevation of a cloud from a point h metres above a lake is α and the angle of derpression of its

 CBSE Class 10 Mathematics Triangles Assignment Set F CBSE Class 10 Mathematics Triangles Assignment Set G
 CBSE Class 10 Mathematics Trigonometry Assignment Set A CBSE Class 10 Mathematics Trigonometry Assignment Set B CBSE Class 10 Mathematics Trigonometry Assignment Set C CBSE Class 10 Mathematics Trigonometry Assignment Set D CBSE Class 10 Mathematics Trigonometry Assignment Set E CBSE Class 10 Mathematics Trigonometry Assignment Set F CBSE Class 10 Mathematics Trigonometry Assignment Set G CBSE Class 10 Mathematics Trigonometry Assignment Set H CBSE Class 10 Mathematics Trigonometry Assignment Set I CBSE Class 10 Mathematics Trigonometry Assignment Set J CBSE Class 10 Mathematics Trigonometry Assignment Set K CBSE Class 10 Mathematics Trigonometry Assignment Set L CBSE Class 10 Mathematics Trigonometry Assignment Set M CBSE Class 10 Mathematics Trigonometry Assignment Set N1 CBSE Class 10 Mathematics Trigonometry Assignment Set N2 CBSE Class 10 Mathematics Trigonometry Assignment Set O CBSE Class 10 Mathematics Trigonometry Assignment Set P1 CBSE Class 10 Mathematics Trigonometry Assignment Set P2 CBSE Class 10 Mathematics Trigonometry Assignment Set P3 CBSE Class 10 Mathematics Trigonometry Assignment Set P4 CBSE Class 10 Mathematics Trigonometry Assignment Set P5 CBSE Class 10 Mathematics Trigonometry Assignment Set P6
 CBSE Class 10 Mathematics Trigonometry Assignment Set A CBSE Class 10 Mathematics Trigonometry Assignment Set B CBSE Class 10 Mathematics Trigonometry Assignment Set C CBSE Class 10 Mathematics Trigonometry Assignment Set D CBSE Class 10 Mathematics Trigonometry Assignment Set E CBSE Class 10 Mathematics Trigonometry Assignment Set F CBSE Class 10 Mathematics Trigonometry Assignment Set G CBSE Class 10 Mathematics Trigonometry Assignment Set H

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### CBSE Class 10 Mathematics Chapter 9 Some Applications Of Trigonometry Assignment

We hope you liked the above assignment for Chapter 9 Some Applications Of Trigonometry which has been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download and practice the above Assignments for Class 10 Mathematics regularly. We have provided all types of questions like MCQs, short answer questions, objective questions and long answer questions in the Class 10 Mathematics practice sheet in Pdf. All questions have been designed for Mathematics by looking into the pattern of problems asked in previous year examinations.

#### Assignment for Mathematics CBSE Class 10 Chapter 9 Some Applications Of Trigonometry

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#### Chapter 9 Some Applications Of Trigonometry Assignment Mathematics CBSE Class 10

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#### Chapter 9 Some Applications Of Trigonometry Assignment CBSE Class 10 Mathematics

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#### CBSE Mathematics Class 10 Chapter 9 Some Applications Of Trigonometry Assignment

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