The height of a building is 72 m. Find the angle of elevation from a point on ground level that is 55 m away from the base of the building

Answers

Answer 1

Answer:

52.6 degrees

Step-by-step explanation:

tan^-1(72/55)

Answer 2

Angle of elevation is equals to 52°7'(approximately).

What is angle of elevation?

" Angle of elevation is the angle between the horizontal plane and  line of sight from the point of observation."

Formula used

In a right angled triangle,

tanθ = ( opposite side) / adjacent side)

According to the question,

As shown in diagram

Height of the building (AB) = 72m

Distance between base of the building and point of observation

(BC)= 55m

Angle of elevation = θ

Substitute the value in the formula we have,

 tanθ = AB / BC

          = 72 / 55

⇒ θ = tan⁻¹ (72 /55)

      = tan ⁻¹(1.3091)

      = 52° 7' (approximately)

Hence, angle of elevation is equals to 52°7'(approximately).

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The Height Of A Building Is 72 M. Find The Angle Of Elevation From A Point On Ground Level That Is 55

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Answers

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Step-by-step explanation

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