దూరంలో నిల్చున్న ఒక వ్యక్తి 1000 మీటర్ల ఎత్తు ఉన్న భవనాన్ని చూస్తున్నాడు. భవనం పైభాగం మరియు భూమి మధ్య కోణం 30° ఉంటుంది. భవనానికి దూరంగా ఉన్న వ్యక్తి సుమారు ఎంత దూరంలో (మీటర్లలో) ఉన్నాడు.

This question was previously asked in
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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ఇచ్చిన:

భవనం ఎత్తు = 1000 మీ

ఊర్ద్వ  కోణం = 30°

ఉపయోగించిన ఫార్ములా:

టాన్ θ = లంబం/భూమి P/B

టాన్ 30° = 1/√3

√3 = 1.732 విలువ

లెక్కింపు:

qImage64d0af13ddb12456eb9666f8

టాన్ 30° = AB/BC

1/√3 = 1000/BC

BC = 1000 √3

⇒ BC = 1000 × 1.732 = 1732 మీ

∴ సరైన సమాధానం 1732 మీ .

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