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

The horizontal distance between two buildings is 70 m. The angle of depression of the top of the first building when seen from the top of the second building is 45°. If the height of the second bui - Mathematics

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प्रश्न

The horizontal distance between two buildings is 70 m. The angle of depression of the top of the first building when seen from the top of the second building is 45°. If the height of the second building is 120 m, find the height of the first building

बेरीज

उत्तर

Let the height of the first building AD be x m

∴ EC = 120 – x

In the right ∆CDE,

tan 45° = `"CE"/"CD"`


1 = `(120 - x)/70`

⇒ 70 = 120 – x

x = 50 cm

∴ The height of the first building is 50 m

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पाठ 6: Trigonometry - Exercise 6.3 [पृष्ठ २६१]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 6 Trigonometry
Exercise 6.3 | Q 2 | पृष्ठ २६१

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