Exercise 9.1 part - 3 🔥|Application of Trigonometry Class 10 ✨| ऊँचाई और दूरी के सवाल

Описание: ✨ Class 10 Maths | Application of Trigonometry | Exercise 9.1 Ch-9 | NCERT Solutions 🔥 | Infinix Classes by Faiz Sir
✨ कक्षा 10 गणित | त्रिकोणमिति का प्रयोग | अभ्यास 9.1 अध्याय 9 | NCERT समाधान | Infinix Classes by Faiz Sir



📘 In this video by Infinix Classes (Maths by Faiz Sir), we solve the most important NCERT Class 10 Maths Chapter 9 – Applications of Trigonometry, Exercise 9.1.
👉 These questions are frequently asked in CBSE Board Exams and are very useful for practice.

Questions Covered (Ex 9.1, Ch 9):

✅ Q10. Two poles problem with angles of elevation (60° & 30°)
✅ Q11. TV Tower problem with canal width (60° & 30°)
✅ Q12. Cable Tower height from building top (60° & 45°)
✅ Q13. Lighthouse and ships distance problem (30° & 45°)
✅ Q14. Balloon problem with moving angles (60° & 30°)
✅ Q15. Tower & car speed problem using angle of depression (30° & 60°)

👨‍🏫 Teacher: Faiz Sir (10+ years teaching experience, Byju’s, Unacademy, Delhi institutes)
💡 This video is perfect for CBSE Class 10 students, Board Exam preparation, and those who want to master Trigonometry problem-solving step by step.





📘 इस वीडियो में Infinix Classes (Maths by Faiz Sir) द्वारा कक्षा 10 गणित अध्याय 9 – त्रिकोणमिति का प्रयोग, अभ्यास 9.1 के महत्वपूर्ण प्रश्न हल किए गए हैं।
👉 ये प्रश्न CBSE बोर्ड परीक्षा में बार-बार पूछे जाते हैं और अभ्यास के लिए बेहद महत्वपूर्ण हैं।

शामिल प्रश्न (अभ्यास 9.1, अध्याय 9):

✅ प्रश्न 10 – दो खंभे और ऊँचाई का प्रश्न (60° और 30°)
✅ प्रश्न 11 – टीवी टॉवर और नहर की चौड़ाई का प्रश्न (60° और 30°)
✅ प्रश्न 12 – इमारत और केबल टॉवर की ऊँचाई (60° और 45°)
✅ प्रश्न 13 – लाइटहाउस और जहाजों की दूरी (30° और 45°)
✅ प्रश्न 14 – गुब्बारे की गति और कोण (60° और 30°)
✅ प्रश्न 15 – टॉवर और कार का प्रश्न (30° और 60°)

👨‍🏫 शिक्षक: फ़ैज़ सर (10+ वर्षों का अनुभव, Byju’s, Unacademy, दिल्ली संस्थान)
💡 यह वीडियो कक्षा 10 CBSE छात्रों, बोर्ड परीक्षा की तैयारी और त्रिकोणमिति को स्टेप-बाय-स्टेप सीखने के लिए बेहद उपयोगी है।







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10. Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30°, respectively. Find the height of the poles and the distances of the point from the poles.




11. A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From another point 20 m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30° (see Fig.). Find the height of the tower and the width of the canal.




12. From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Determine the height of the tower.




13. As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.




14. A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60°. After some time, the angle of elevation reduces to 30° (see Fig.). Find the distance travelled by the balloon during the interval.




15. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower from this point.





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