The elevation is 30.1°
What is an angle of elevation?
"It denotes the angle from the horizontal upward to an object."
What is tangent of angle?
In a right triangle for angle Ф,
tan(Ф) = opposite side of angle Ф / adjacent side of angle Ф
For given question,
We have been given the top of a 55 ft building from 95 ft away.
Let [tex]\theta[/tex] be the elevation.
This means, the opposite side of angle of elevation [tex]\theta[/tex] is 55ft. and the adjacent side is 95 ft.
We take the tangent of angle [tex]\theta[/tex]
[tex]\Rightarrow tan(\theta)=\frac{55}{95} \\\\\Rightarrow tan(\theta)=0.5789\\\\\Rightarrow \theta=tan^{-1}(0.5789)\\\\\Rightarrow \theta=30.1^{\circ}[/tex]
Therefore, the elevation is 30.1°
Learn more about angle of elevation here:
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