इमारतीच्या पायथ्यापासून 30 मीटर अंतरावर असलेल्या जमिनीवरील एका बिंदूपासून इमारतीच्या शिखराचा उन्नयन कोन 30° आहे. इमारतीची उंची किती आहे?

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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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Detailed Solution

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वापरलेले सूत्र: tan (उन्नयन कोन) = लंब / पाया

गणना:

⇒ tan( 30°) = h/30

⇒ h = 30 × (1/√3) [tan 30° = 1/√3]

⇒ h = 30 / √3

इमारतीची उंची 30/√3 मीटर आहे.

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