मनोऱ्याच्या पायथ्याकडे जाणाऱ्या रस्त्यावरील 3 बिंदूंपासून (एकरेखीय) A, B आणि C पासून मनोऱ्याच्या शिखराच्या उंचीचा कोन अनुक्रमे 30°, 45° आणि 60° आहे. तर AB आणि BC चे गुणोत्तर काय असेल?

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संकल्पना:

जर L लांबीच्या मनोऱ्यापासून D अंतरावरील बिंदुपासूनच्या उंचीवरील कोन हा θ असेल तर, 

tan θ = 

गणना:

OP या मनोऱ्याची ऊंची x घेऊ, 

आकृतीवरून, 

OA = 

OB = 

OC = 

∴ AB = OA - OB = 

BC = OB - OC = 

⇒ 

⇒ 

⇒ 

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