भिंतीला टेकलेली शिडी क्षितिज समांतर जमिनीशी θ कोन करते, जेथे tan θ = \(\frac{15}{8}\). जर शिडीच्या वरच्या भागाची भिंतीपासूनची उंची 30 मी असेल, तर शिडीच्या पायथ्याचे भिंतीपासूनचे अंतर (मी मध्ये) शोधा.

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  1. 16
  2. 14
  3. 20
  4. 18

Answer (Detailed Solution Below)

Option 1 : 16
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दिलेले:

tan \(\theta = \frac{15}{8}\)

जमिनीपासून शिडीची उंची (विरुद्ध बाजू) = 30 मी

वापरलेले सूत्र:

tan \(\theta = \frac{\text{उंची}}{\text{पाया}}\)

\(\Rightarrow \text{पाया} = \frac{\text{उंची}}{\tan \theta}\)

गणना:

qImage686b76a013bfbf0b3e1a4e26

tan \(\theta = \frac{\text{उंची}}{\text{पाया}}\)

\(\frac{15}{8}\) \( = \frac{\text{30}}{\text{पाया}}\)

⇒ पाया = \(\frac{30}{\frac{15}{8}} = 2 × 8 = 16\) मी

∴ योग्य उत्तर 16 मीटर आहे.

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