Question
Download Solution PDFமலை உச்சியில் இருந்து ஒருவர் சீரான வேகத்தில் தன்னை நோக்கி வாகனம் வருவதைக் கவனிக்கிறார். இறக்கக் கோணம் 45°லிருந்து 60°க்கு மாற 10 நிமிடங்கள் ஆகும். இதற்குப் பிறகு,வாகனம் மலையின் அடிவாரத்தை அடைய தேவைப்படும் நேரம் என்னவாகும்
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCD = 10அலகு
Δ ABC இல்
tan 45 = AB/BC
BC = AB --- (1)
ΔABD இல்
tan 60 = AB/BD
⇒ √3 = AB/BD
⇒ AB = √3 BD
BC = √3 BD [(1) சமன்பாட்டிலிருந்து ]
BC = BD + CD
⇒ √3 BD – BD = CD
⇒ BD (√3 – 1) = 10
⇒ BD = 10/(√3 – 1) × [(√3 + 1)/(√3 + 1)]
⇒ BD = 10 (√3 + 1)/2
⇒ BD = 5 (1.732 + 1)
⇒ BD = 5 × 2.732
⇒ BD = 13.66 அலகு
⇒ 10 அலகு = 10 நிமிடம்
⇒ 13.66 அலகு = 13 நிமிடம் 40 நொடி
குறுகிய தந்திரம்:
(√3 – 1) அலகு= 10 நிமிடம்
1 அலகு = 10/(√3 - 1) × [(√3 + 1)/(√3 + 1)]
⇒ 1 அலகு = 10 (√3 + 1)/2 = 5 (1.732 + 1) = 5 × 2.732 = 13.66
⇒ 13.66 = 13 நிமிடம் 40 நொடி
Last updated on Jul 19, 2025
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