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

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प्रश्न

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

उत्तर

Let BE be the observer of 1.5 m tall. And AD be the tower of height 30. Here we have to find the angle of elevation of the top of the tower.

Let ∠ABC = θ

The corresponding figure is as follows

In ΔABC

`=> tan theta = (AC)/(BC)`

`=> tan theta = 28.5/28.5`

`=> tan theta  = 1`

`=> theta = 45^@`

Hence the required angle is 45°

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अध्याय 12: Trigonometry - Exercise 12.1 [पृष्ठ ३३]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 12 Trigonometry
Exercise 12.1 | Q 56 | पृष्ठ ३३

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