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An Observer, 1.5 M Tall, is 28.5 M Away from a 30 M High Tower. Determine the Angle of Elevation of the Top of the Tower from the Eye of the Observer. - Mathematics

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प्रश्न

An observer, 1.5 m tall, is 28.5 m away from a 30 m high tower. Determine the angle of elevation of the top of the tower from the eye of the observer.

बेरीज

उत्तर

`"Let AB = 1.5 m be the observer and CD = 30 m be the tower."`
`"Let the angle of elevation of the top of the tower be α"` 

`CD= CE+ED` 

`⇒ CD=CE+AB` 

`⇒30=CE+1.5` 

`⇒CE=30-1.5=28.5 m`

In ΔCEB, 

`tan ∝ = (CE)/(BE)=28.5/28.5` 

`⇒ tan ∝ =1`

`⇒ tan ∝= tan 45° ` 

`⇒∝=45°`

 

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पाठ 12: Trigonometry - Exercise 12.2 [पृष्ठ ४१]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 12 Trigonometry
Exercise 12.2 | Q 11 | पृष्ठ ४१

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