दूर खड़ा एक व्यक्ति 1000 मीटर की ऊँचाई वाली एक इमारत को देख रहा है। इमारत के शीर्ष और आधार के बीच का कोण 30° है। वह व्यक्ति इमारत से कितनी अनुमानित दूरी (मीटर में) पर खड़ा है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 4)
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  1. 1000
  2. 936
  3. 1732
  4. 1542

Answer (Detailed Solution Below)

Option 3 : 1732
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Detailed Solution

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दिया गया है:

इमारत की ऊँचाई = 1000 मीटर

उन्नयन कोण = 30°

प्रयुक्त सूत्र:

Tan θ = लंब/आधार = P/B

Tan 30° = 1/√3

√3 का मान = 1.732

गणना:

F1 SSC Arbaz 6-10-23 D14

Tan 30° = AB/BC

⇒ 1/√3 = 1000/BC

⇒ BC = 1000√3

⇒ BC = 1000 × 1.732 = 1732 मीटर

∴ सही उत्तर 1732 मीटर है।

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