अध्याय 9 · Class 10 UP Board · Free Worksheet PDF

Some Applications of Trigonometry Sums for Class 10 — Free UP Board Worksheet PDF with Answers

Download a free printable some applications of trigonometry worksheet for Class 10 UP Board with 30 practice questions covering some applications of trigonometry concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Some Applications of Trigonometry Sums for Class 10 — Practice Questions

Here are 8 sample some applications of trigonometry sums from this Class 10 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.एक ऊर्ध्वाधर खंभे की ऊँचाई 636 \sqrt{3} मीटर है और उसकी छाया की लंबाई 6 मीटर है। सूर्य का उन्नयन कोण क्या होगा?
A.30∘30^\circ
B.45∘45^\circ
C.60∘60^\circ
D.90∘90^\circ

Difficulty: Easy

Q2.जमीन पर एक बिंदु से, जो एक मीनार के आधार से 30 मीटर की दूरी पर है, मीनार के शिखर का उन्नयन कोण 30∘30^\circ है। मीनार की ऊँचाई ज्ञात कीजिए।
A.10310 \sqrt{3} m
B.20320 \sqrt{3} m
C.30 m
D.30330 \sqrt{3} m

Difficulty: Easy

Q3.एक सीढ़ी दीवार के सहारे इस प्रकार खड़ी है कि उसका निचला सिरा दीवार से 8 मीटर की दूरी पर है और वह जमीन के साथ 60∘60^\circ का कोण बनाती है। सीढ़ी की लंबाई ज्ञात कीजिए।
A.8 m
B.838 \sqrt{3} m
C.16 m
D.16316 \sqrt{3} m

Difficulty: Easy

Q4.एक पतंग जमीन से 60 मीटर की ऊँचाई पर उड़ रही है। पतंग से बंधी डोरी की लंबाई क्या होगी, यदि डोरी जमीन के साथ 60∘60^\circ का कोण बनाती है और कोई ढील नहीं है?
A.60 m
B.60360 \sqrt{3} m
C.40340 \sqrt{3} m
D.120 m

Difficulty: Easy

Q5.एक 75 मीटर ऊँचे प्रकाश स्तंभ के शीर्ष से देखने पर एक जहाज का अवनमन कोण 30∘30^\circ है। प्रकाश स्तंभ के आधार से जहाज की दूरी ज्ञात कीजिए।
A.75 m
B.75375 \sqrt{3} m
C.150 m
D.25325 \sqrt{3} m

Difficulty: Easy

Q6.आंधी आने से एक पेड़ टूट जाता है और टूटा हुआ भाग इस तरह मुड़ जाता है कि पेड़ का शिखर जमीन को छूने लगता है और इसके साथ 30∘30^\circ का कोण बनाता है। पेड़ के पाद बिंदु से उस बिंदु की दूरी जहाँ शिखर जमीन को छूता है, 8 मीटर है। पेड़ की कुल ऊँचाई ज्ञात कीजिए।
A.8 m
B.838 \sqrt{3} m
C.24324 \sqrt{3} m
D.8(1+13)8(1 + \frac{1}{\sqrt{3}}) m

Difficulty: Easy

Q7.जमीन पर एक बिंदु से एक टावर के शीर्ष का उन्नयन कोण 30∘30^\circ है। यदि टावर की ऊँचाई 50 मीटर है, तो टावर के आधार से बिंदु की दूरी ज्ञात कीजिए।
A.50 m
B.50350 \sqrt{3} m
C.50/350/\sqrt{3} m
D.100 m

Difficulty: Easy

Q8.एक टावर के आधार से गुजरने वाली सीधी रेखा पर 4 मीटर और 9 मीटर की दूरी पर स्थित दो बिंदुओं से टावर के शीर्ष के उन्नयन कोण पूरक हैं। टावर की ऊँचाई ज्ञात कीजिए।
A.4 m
B.6 m
C.9 m
D.13 m

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$60^\circ$
Q2:$10 \sqrt{3}$ m
Q3:16 m
Q4:$40 \sqrt{3}$ m
Q5:$75 \sqrt{3}$ m
Q6:$8 \sqrt{3}$ m
Q7:$50 \sqrt{3}$ m
Q8:6 m

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicSome Applications of Trigonometry
BoardUP Board
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free some applications of trigonometry sums for Class 10?+
You can download a free Some Applications of Trigonometry PDF worksheet for Class 10 UP Board right here on SparkEd. The worksheet includes 30 practice questions (some applications of trigonometry concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many some applications of trigonometry questions are in this Class 10 worksheet?+
This SparkEd worksheet for Some Applications of Trigonometry Class 10 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover some applications of trigonometry concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Some Applications of Trigonometry worksheet for Class 10 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this some applications of trigonometry worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 10 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board exam pattern and difficulty level.
Can I print this Some Applications of Trigonometry worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include some applications of trigonometry word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.