Question
Download Solution PDFवाऱ्याने एक खांब तुटला ज्याचा वरचा भाग पायापासून 90 मीटर अंतरावर 30° कोनात जमिनीला मिळतो. खांबाची एकूण उंची किती होती?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसूत्र:
tanθ = लंब/पाया
cosθ = पाया/कर्ण
गणना:
ध्रुवाचा तुटलेला बिंदू A आहे. आणि बिंदू C हा एक बिंदू आहे जेथे ध्रुव जमिनीवर येतो.
खांबाची एकूण लांबी = BA + AC
BC = 90
tan30° = AB/BC
⇒ 1/√3 = AB/90
⇒ AB = 90/√3
⇒ AB = 30√3
पुन्हा,
cos30° = BC/AC
⇒ √3/2 = 90/AC
⇒ AC = 90 × (2/√3)
⇒ AC = 60√3
∴ खांबाची एकूण उंची = 30√3 + 60√3 = 90√3 मीटर
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