CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set 01

Download Class 10 Mathematics Practice Worksheets

Explore structured practice materials through the CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set 01. Tailored for Class 10 learners, utilizing these Mathematics worksheets ensures thorough preparation and strengthens problem-solving accuracy before final school evaluations.

Access Chapter 9 Some Applications of Trigonometry Practice Papers and Solutions

View or download the dedicated CBSE Class 10 Mathematics Some Applications of Trigonometry Worksheet Set 01 resource below. Engaging with these practice papers under focused study conditions ensures continuous academic progress and mastery of the 2026-27 curriculum for Chapter 9 Some Applications of Trigonometry.

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

Free study material for Mathematics

Chapter 9 Some Applications of Trigonometry Printable Worksheets and Exercises for Class 10 Mathematics

Daily Practice Questions for Class 10 Mathematics

Access structured practice worksheets for Chapter 9 Some Applications of Trigonometry aligned with the 2026 CBSE curriculum. These downloadable exercises for Class 10 Mathematics help students build accuracy and reinforce core concepts for upcoming school tests.

Detailed Answers for Class 10 Mathematics Chapter 9 Some Applications of Trigonometry

Built using official NCERT guidelines for Class 10 Mathematics, these practice sheets provide reliable academic support. Cross-reference your completed work with our detailed solutions to learn standard answer-writing formats for CBSE exams.

Complete Your Chapter Revision

Consistent engagement with these exercises builds familiarity with recurring exam themes. If specific areas within Chapter 9 Some Applications of Trigonometry cause trouble, utilize our dedicated NCERT solutions for Class 10 Mathematics to clear up doubts immediately.

FAQs

Where can I download the 2026-27 CBSE printable worksheets for Class 10 Mathematics Chapter 9 Some Applications of Trigonometry?

You can download the latest chapter-wise printable worksheets for Class 10 Mathematics Chapter 9 Some Applications of Trigonometry for free from StudiesToday.com. These have been made as per the latest CBSE curriculum for this academic year.

Are these Chapter 9 Some Applications of Trigonometry Mathematics worksheets based on the new competency-based education (CBE) model?

Yes, Class 10 Mathematics worksheets for Chapter 9 Some Applications of Trigonometry focus on activity-based learning and also competency-style questions. This helps students to apply theoretical knowledge to practical scenarios.

Do the Class 10 Mathematics Chapter 9 Some Applications of Trigonometry worksheets have answers?

Yes, we have provided solved worksheets for Class 10 Mathematics Chapter 9 Some Applications of Trigonometry to help students verify their answers instantly.

Can I print these Chapter 9 Some Applications of Trigonometry Mathematics test sheets?

Yes, our Class 10 Mathematics test sheets are mobile-friendly PDFs and can be printed by teachers for classroom.

What is the benefit of solving chapter-wise worksheets for Mathematics Class 10 Chapter 9 Some Applications of Trigonometry?

For Chapter 9 Some Applications of Trigonometry, regular practice with our worksheets will improve question-handling speed and help students understand all technical terms and diagrams.