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Some Applications of Trigonometry

Madhya Pradesh Board · Class 10 · Mathematics

Flashcards for Some Applications of Trigonometry — Madhya Pradesh Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

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40 Flashcards
Card 1Tower height

A student stands on level ground 15 m from a tower. The angle of elevation of the top is 60°. Find the height of the tower.

Answer

Step 1: Use tan 60° = AB/BC. Step 2: tan 60° = √3 and BC = 15 m. Step 3: √3 = AB/15. Step 4: AB = 15√3 m. Answer: The height of the tower is 15√3 m.

Card 2टावर की ऊँचाई

एक छात्र एक मीनार से 15 मीटर की दूरी पर समतल भूमि पर खड़ा है। शीर्ष का उन्नयन कोण 60° है। मीनार की ऊँचाई ज्ञात कीजिए।

Answer

चरण 1: tan 60° = AB/BC का उपयोग करें। चरण 2: tan 60° = √3 और BC = 15 m. चरण 3: √3 = AB/15. चरण 4: AB = 15√3 m. उत्तर: मीनार की ऊंचाई 15√3 m है।…

Card 3Ladder length

An electrician must reach a point 3.7 m above the ground on a pole. The ladder is inclined at 60° to the horizontal. Find the ladder length.

Answer

Step 1: Use sin 60° = BD/BC. Step 2: Here BD = 3.7 m and BC is the ladder length. Step 3: 3.7/BC = √3/2. Step 4: BC = (3.7 × 2)/√3 = 4.28 m. Answer: The ladder length is 4.28 m.

Card 4सीढ़ी की लंबाई

एक इलेक्ट्रीशियन को एक खम्बे पर जमीन से 3.7 मीटर ऊपर एक बिंदु तक पहुंचना है। सीढ़ी क्षैतिज से 60° पर झुकी हुई है। सीढ़ी की लंबाई ज्ञात कीजिए।

Answer

चरण 1: sin 60° = BD/BC का उपयोग करें। चरण 2: यहाँ BD = 3.7 मीटर और BC सीढ़ी की लंबाई है। चरण 3: 3.7/BC = √3/2. चरण 4: BC = (3.7 × 2)/√3 = 4.28 मीटर। उत्तर: सीढ़ी की लंबाई 4.28 मीटर है।…

Card 5Ladder position

For the same ladder problem, find how far the foot of the ladder should be placed from the pole.

Answer

Step 1: Use cot 60° = DC/BD. Step 2: Here BD = 3.7 m and DC is the distance from the pole. Step 3: DC/3.7 = 1/√3. Step 4: DC = 3.7/√3 = 2.14 m. Answer: The foot of the ladder should be 2.14 m from the…

Card 6सीढ़ी की स्थिति

उसी सीढ़ी की समस्या के लिए, पता लगाएँ कि सीढ़ी के पैर को खंभे से कितनी दूर रखा जाना चाहिए।

Answer

चरण 1: cot 60° = DC/BD का उपयोग करें। चरण 2: यहाँ BD = 3.7 m और DC खम्भे से दूरी है। चरण 3: DC/3.7 = 1/√3. चरण 4: DC = 3.7/√3 = 2.14 m. उत्तर: सीढ़ी का तल खम्भे से 2.14 m दूर होना चाहिए।…

Card 7Chimney height

An observer 1.5 m tall stands 28.5 m from a chimney. The angle of elevation from her eyes is 45°. Find the height of the chimney.

Answer

Step 1: Let AE be the height above eye level. Step 2: Use tan 45° = AE/DE. Step 3: tan 45° = 1 and DE = 28.5 m. Step 4: 1 = AE/28.5, so AE = 28.5 m. Step 5: Total chimney height = 28.5 + 1.5 = 30 m. A…

Card 8चिमनी की ऊँचाई

एक 1.5 मीटर लंबा प्रेक्षक एक चिमनी से 28.5 मीटर की दूरी पर खड़ा है। उसकी आँखों से उन्नयन कोण 45° है। चिमनी की ऊँचाई ज्ञात कीजिए।

Answer

चरण 1: मान लीजिए कि AE आँख के स्तर से ऊँचाई है। चरण 2: tan 45° = AE/DE का उपयोग करें। चरण 3: tan 45° = 1 और DE = 28.5 मीटर है। चरण 4: 1 = AE/28.5, इसलिए AE = 28.5 मीटर है। चरण 5: चिमनी की कुल ऊँचाई t …

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What are the important topics in Some Applications of Trigonometry for Madhya Pradesh Board Class 10 Mathematics?
Some Applications of Trigonometry covers several key topics that are frequently asked in Madhya Pradesh Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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