Question
Download Solution PDFएक तालाब में पानी से 60 मीटर ऊंचाई पर एक बिंदु से एक पक्षी का उन्नयन कोण 30° है। उसी बिंदु से पानी के अंदर पक्षी के प्रतिबिम्ब का अवनमन कोण 60° है। तालाब के ऊपर मँडराते हुए पक्षी की ऊंचाई मीटर में ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFBE तालाब से पक्षियों की ऊंचाई है
⇒ BE = ED = h मीटर
⇒ AF = CE = 60 मीटर
⇒ BC = (h – 60) मीटर और CD = (h + 60) मीटर
ΔABC में,
tan 30 = BC/AC
⇒ 1/√3 = (h – 60)/AC
⇒ AC = √3 (h – 60) ----(i)
ΔADC में
tan 60 = CD/AC
⇒ √3 = (h + 60)/AC
⇒ AC = (h + 60)/√3 ----(ii)
समीकरण (i) और समीकरण (ii) से
√3 (h – 60) = (h + 60)/√3
⇒ 3 (h – 60) = (h + 60)
⇒ 3h – 180 – h = 60
⇒ 2h = 240
⇒ h = 120 मीटर
∴ तालाब से पक्षियों की ऊंचाई 120 मीटर है।
Last updated on Jun 2, 2025
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