जमीन पर एक बिंदु से इमारत के शीर्ष का उन्नयन कोण, जो इमारत के आधार से 30 मीटर दूर है, 30° है। इमारत की ऊँचाई है:

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Bihar STET TGT (Social Science) Official Paper-I (Held On: 08 Sept, 2023 Shift 5)
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  1. 10 मीटर
  2. 30/\(\sqrt{3}\) मीटर
  3. \(\sqrt{3}\)/10 मीटर
  4. 30 मीटर

Answer (Detailed Solution Below)

Option 2 : 30/\(\sqrt{3}\) मीटर
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Bihar STET Paper 1 Mathematics Full Test 1
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Detailed Solution

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प्रयुक्त सूत्र:

tan (उन्नयन कोण) = लंब / आधार

गणना:

⇒ tan (30°= h/30

⇒ h = 30 × (1/√3)  [tan 30° = 1/√3]

⇒ h = 30 / √3

इमारत की ऊँचाई 30/√3 मीटर है। 

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