CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set A

Read and download the CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set A in PDF format. We have provided exhaustive and printable Class 10 Mathematics worksheets for Chapter 9 Some Applications of Trigonometry, designed by expert teachers. These resources align with the 2025-26 syllabus and examination patterns issued by NCERT, CBSE, and KVS, helping students master all important chapter topics.

Chapter-wise Worksheet for Class 10 Mathematics Chapter 9 Some Applications of Trigonometry

Students of Class 10 should use this Mathematics practice paper to check their understanding of Chapter 9 Some Applications of Trigonometry as it includes essential problems and detailed solutions. Regular self-testing with these will help you achieve higher marks in your school tests and final examinations.

Class 10 Mathematics Chapter 9 Some Applications of Trigonometry Worksheet with Answers

 

Applications Of Trigonometry MCQ Questions with Answers Class 10 

 
Question- Man on a cliff observes a boat at an angle of de- pression of 30° which is approaching the shore to the point immediately beneath the observer with a uniform speed. Six minutes later, the angle of de-pression of the boat is found to be 60°. Find the time taken by the boat to reach the shore.
(1) 6 min.
(2) 7 min.
(3) 8 min.
(4) 9 min.
Ans-4
 
Question- If x and y are complementary angles, then
(1) sin x = sin y
(2) tan x = tan y
(3) cos x = cos y
(4) sec x = cosec y
Ans-4 
 
Question-The value of 5 tan2 A - 5 sec2 A + 1 is equal to
(1) 6
(2) -5
(3) 1
(4) -4
Ans-4 
 
Question-If sin A - cos A = 0, then the value of sin4A + cos4A is
(1) 2
(2) 1
(3) 3/4
(4) 1/2
Ans-4 
 
Question-The shadow of a flagstaff is three times as long as the shadow of the flagstaff when the sunrays meet the ground at an angle of 60°. find the angle be- tween the sunrays and the ground at the time of long shadow.
(1) 60°
(2) 90°
(3) 45°
(4) 30°
Ans-4 
 
Question-A boy standing on the ground and flying a kite with 75 m of string at an elevation of 45°. Another boy is standing on the roof of 25 m high building and is flying his kite at an elevation of 30°. Both the boys are on the opposite side of the two kites. Find the length of the string that the second boy must have, so that the kites meet.
(1) 43.05 m
(2) 34.05 m
(3) 45.05 m
(4) 56.05 m
Ans-4
 
Question- If sin q and cos q are the roots of ax2 + bx + c = 0 (ac ≠ 0), then
(1) a2 + b2 - 2ac = 0
(2) a2 - b2 + 2ac = 0
(3) (a + c)2 = b2 + c2
(4) None of these
Ans-2,3
 
Question-The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the feet of the towers are 60° and 30° respectively. The ratio of heights of the towers is :-
(1) 2 : 1
(2) √3 : 1
(3) 3 : 2
(4) 3 : 1
Ans-4
 
Question-A man observes that when he moves up a distance c metres on a slope, the angle of depression of a point on the horizontal plane from the base of the slope is 30°, and when he moves up further a distance c metres, the angle of depression of that point is 45°. The angle of inclination of the slope with the horizontal is :-
(1) 60°
(2) 45°
(3) 75°
(4) 30°
Ans-3 
 
Question-One side of a parallelogram is 12 cm and its area is 60 cm2. If the angle between the adjacent sides is 30°, then its other side is
(1) 10 cm
(2) 8 cm
(3) 6 cm
(4) 4 cm
Ans-1
 
Question-A flagstaff stands vertically on a pillar, the height of the flagstaff being double the height of the pillar. A man on the ground at a distance finds that both the pillar and the flagstaff subtend equal angles at his eyes. The ratio of the height of the pillar and the distance of the man from the pillar is
(1) 1 : 3
(2) 3:√1
(3) 1:√3
(4) √3 :2
Ans-3
 
Question-A balloon leaves the earth at point A and rises at a uniform velocity. At the end of 1 1/2 min, an observer situated at a distance of 200 m from A finds the angular elevation of the balloon to be 60°. The speed of the balloon is
(1) 5.87 m/s
(2) 4.87 m/s
(3) 3.87 m/s
(4) 6.87 m/s
Ans-3
 
Question-At the foot of a mountain, the elevation of its sum- mit is 45°. After ascending one kilometer the moun- tain upon and incline of 30°, the elevation changes to 60°. The height of the mountain is
(1) 1.366 km
(2) 1.266 km
(3) 1.166 km
(4) 1.466 km
Ans-1 
 
Question- If x = r cos a, cos b, y = r cosa sinb and z = r sin a then x2 + y2 + z2 is equal to
(1) r2
(2) r4
(3) 1
(4) None of these
Ans-1 
 
Question-A person standing on the bank of a river observes that the angles subtended by a tree on the oppo- site bank is 60°. When he retires 40 m from the bank, he finds the angle to be 30°. The breadth of the river is
(1) 40 m
(2) 60 m
(3) 20 m
(4) 30 m
Ans-3
 
Question-A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60° and when he retires 40 m away from the tree, the angle of elevation becomes 30°. The breadth of the river is
(1) 40 m
(2) 20 m
(3) 30
(4) 60 m
Ans-2

 

Please refer to attached file for CBSE Class 10 Mathematics Worksheet - Applications of Trigonometry

Chapter 01 Real Numbers
CBSE Class 10 Mathematics Real Numbers Worksheet Set A
CBSE Class 10 Mathematics Real Numbers Worksheet Set B
CBSE Class 10 Mathematics Real Numbers Worksheet Set C
CBSE Class 10 Mathematics Real Numbers Worksheet Set D
CBSE Class 10 Mathematics Real Numbers Worksheet Set E
CBSE Class 10 Mathematics Real Numbers Worksheet Set F
CBSE Class 10 Mathematics Real Numbers Worksheet Set G
Chapter 02 Polynomials
CBSE Class 10 Mathematics Polynomials Worksheet Set A
CBSE Class 10 Mathematics Polynomials Worksheet Set B
CBSE Class 10 Mathematics Polynomials Worksheet Set C
CBSE Class 10 Mathematics Polynomials Worksheet Set D
CBSE Class 10 Mathematics Polynomials Worksheet Set E
CBSE Class 10 Mathematics Polynomials Worksheet Set F
CBSE Class 10 Mathematics Polynomials Worksheet Set G
CBSE Class 10 Mathematics Polynomials Worksheet Set H
CBSE Class 10 Mathematics Polynomials Worksheet Set I
CBSE Class 10 Mathematics Polynomials Worksheet Set J
CBSE Class 10 Mathematics Polynomials Worksheet Set K
Chapter 03 Pair of Linear Equations in Two Variables
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set A
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set B
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set C
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set D
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set E
CBSE Class 10 Mathematics Pair Of Linear Equations In 2 Variables Worksheet Set F
Chapter 04 Quadratic Equation
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set A
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set C
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set D
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set E
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set F
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set I
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set J
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set K
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set L
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set M
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set N
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set O
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set P
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set Q
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set R
CBSE Class 10 Mathematics Quadratic Equation Worksheet Set S
Chapter 05 Arithmetic Progression
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set A
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set B
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set C
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set D
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set E
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set F
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set G
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set H
CBSE Class 10 Mathematics Arithmetic Progression Worksheet Set I
Chapter 06 Triangles
CBSE Class 10 Mathematics Triangles Worksheet Set A
CBSE Class 10 Mathematics Triangles Worksheet Set B
CBSE Class 10 Mathematics Triangles Worksheet Set C
CBSE Class 10 Mathematics Triangles Worksheet Set D
CBSE Class 10 Mathematics Triangles Worksheet Set E
CBSE Class 10 Mathematics Triangles Worksheet Set F
CBSE Class 10 Mathematics Triangles Worksheet Set G
CBSE Class 10 Mathematics Triangles Worksheet Set H
Chapter 07 Coordinate Geometry
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set A
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set B
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set C
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set D
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set E
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set F
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set G
CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set H
Chapter 08 Introduction to Trigonometry
CBSE Class 10 Mathematics Introduction to Trigonometry Worksheet Set A
CBSE Class 10 Mathematics Introduction to Trigonometry Worksheet Set B
Chapter 09 Some Applications of Trigonometry
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set A
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set B
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set C
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set D
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set E
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set F
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set G
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set H
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set I
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set J
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set K
CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set L
Chapter 10 Circles
CBSE Class 10 Mathematics Circles Worksheet Set A
CBSE Class 10 Mathematics Circles Worksheet Set B
CBSE Class 10 Mathematics Circles Worksheet Set C
CBSE Class 10 Mathematics Circles Worksheet Set D
CBSE Class 10 Mathematics Circles Worksheet Set E
CBSE Class 10 Mathematics Circles Worksheet Set F
CBSE Class 10 Mathematics Circles Worksheet Set G
CBSE Class 10 Mathematics Circles Worksheet Set H
Chapter 11 Areas related to Circles
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set A
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set B
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set C
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set D
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set E
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set F
CBSE Class 10 Mathematics Areas Related To Circles Worksheet Set G
Chapter 12 Surface Areas and Volumes
CBSE Class 10 Mathematics Surface Areas and Volumes Worksheet Set A
CBSE Class 10 Mathematics Surface Areas and Volumes Worksheet Set B
CBSE Class 10 Mathematics Surface Areas and Volumes Worksheet Set C
Chapter 13 Statistics
CBSE Class 10 Mathematics Statistics Worksheet Set A
CBSE Class 10 Mathematics Statistics Worksheet Set B
CBSE Class 10 Mathematics Statistics Worksheet Set C
CBSE Class 10 Mathematics Statistics Worksheet Set D
CBSE Class 10 Mathematics Statistics Worksheet Set E
CBSE Class 10 Mathematics Statistics Worksheet Set F
CBSE Class 10 Mathematics Statistics Worksheet Set G
CBSE Class 10 Mathematics Statistics Worksheet Set H
CBSE Class 10 Mathematics Statistics Worksheet Set I
CBSE Class 10 Mathematics Statistics Worksheet Set J
Chapter 14 Probability
CBSE Class 10 Mathematics Probability Worksheet Set A
CBSE Class 10 Mathematics Probability Worksheet Set B
CBSE Class 10 Mathematics Probability Worksheet Set C
Other Topics
Case Study Chapter 1 Real Numbers Mathematics
Case Study Chapter 2 Polynomials Mathematics
Case Study Chapter 3 Linear Equations Mathematics
Case Study Chapter 6 Triangles Mathematics
Case Study Chapter 7 Coordinate Geometry Mathematics
Case Study Chapter 8 Trigonometry Mathematics
Case Study Chapter 11 Areas related to Circles Mathematics
Case Study Chapter 14 Probability Mathematics
CBSE Class 10 Mathematics Number Systems Worksheet

Important Practice Resources for Class 10 Mathematics

CBSE Mathematics Class 10 Chapter 9 Some Applications of Trigonometry Worksheet

Students can use the practice questions and answers provided above for Chapter 9 Some Applications of Trigonometry to prepare for their upcoming school tests. This resource is designed by expert teachers as per the latest 2026 syllabus released by CBSE for Class 10. We suggest that Class 10 students solve these questions daily for a strong foundation in Mathematics.

Chapter 9 Some Applications of Trigonometry Solutions & NCERT Alignment

Our expert teachers have referred to the latest NCERT book for Class 10 Mathematics to create these exercises. After solving the questions you should compare your answers with our detailed solutions as they have been designed by expert teachers. You will understand the correct way to write answers for the CBSE exams. You can also see above MCQ questions for Mathematics to cover every important topic in the chapter.

Class 10 Exam Preparation Strategy

Regular practice of this Class 10 Mathematics study material helps you to be familiar with the most regularly asked exam topics. If you find any topic in Chapter 9 Some Applications of Trigonometry difficult then you can refer to our NCERT solutions for Class 10 Mathematics. All revision sheets and printable assignments on studiestoday.com are free and updated to help students get better scores in their school examinations.

Where can I download latest CBSE Printable worksheets for Class 10 Mathematics Chapter 9 Some Applications of Trigonometry

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Yes, studiestoday.com provides all latest NCERT Chapter 9 Some Applications of Trigonometry Class 10 Mathematics test sheets with answers based on the latest books for the current academic session

What topics are covered in CBSE Class 10 Mathematics Chapter 9 Some Applications of Trigonometry worksheets?

CBSE Class 10 Mathematics Chapter 9 Some Applications of Trigonometry worksheets cover all topics as per the latest syllabus for current academic year.

How can I use worksheets to improve my Class 10 Mathematics scores?

Regular practice with Class 10 Mathematics worksheets can help you understand all concepts better, you can identify weak areas, and improve your speed and accuracy.