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The height of a tower is 10 m. What is the length of its shadow when Sun's altitude is 45°? - Mathematics

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प्रश्न

The height of a tower is 10 m. What is the length of its shadow when Sun's altitude is 45°?

बेरीज

उत्तर

Let BC be the length of shadow is x m 

Given that: Height of tower is 10 meters and altitude of sun is 45°

Here we have to find length of shadow.

So we use trigonometric ratios. 

In a triangle ABC,

`⇒ tan = (AB)/(BC)`   

`⇒ tan 45°=(AB)/(AC)` 

`⇒1=10/x`

`⇒x=10`

Hence the length of shadow is 10 m.

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पाठ 12: Trigonometry - Exercise 12.2 [पृष्ठ ४०]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 12 Trigonometry
Exercise 12.2 | Q 1 | पृष्ठ ४०

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