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

From the top of a rock 503 m high, the angle of depression of a car on the ground is observed to be 30°. Find the distance of the car from the rock - Mathematics

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प्रश्न

From the top of a rock `50sqrt(3)` m high, the angle of depression of a car on the ground is observed to be 30°. Find the distance of the car from the rock

बेरीज

उत्तर

Let the distance of the car from the rock is x m

In the right ∆ABC, tan 30° = `"AB"/"BC"`

`1/sqrt(3) = (50sqrt(3))/x`

x = `50sqrt(3) xx sqrt(3)`

= 50 × 3

= 150 m

∴ Distance of the car from the rock = 150 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 1 | पृष्ठ २६१

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