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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता १०

If the ratio of the height of a tower and the length of its shadow is 3:1, then the angle of elevation of the sun has measure - Mathematics

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प्रश्न

If the ratio of the height of a tower and the length of its shadow is `sqrt(3): 1`, then the angle of elevation of the sun has measure

पर्याय

  • 45°

  • 30°

  • 90°

  • 60°

MCQ

उत्तर

60°

Explanation;

Hint:

Ratio of length of the tower : length of the shadow = `sqrt(3): 1`


Let the tower be `sqrt(3)` x and the shadow be x

tan C = `"AB"/"BC"`

⇒ tan C = `(sqrt(3)x)/x =sqrt(3)`

tan C = tan 60°

⇒ ∴ ∠C = 60°

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पाठ 6: Trigonometry - Exercise 6.5 [पृष्ठ २६६]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 6 Trigonometry
Exercise 6.5 | Q 10 | पृष्ठ २६६

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