Angle of elevation is equals to 64.98degree.
What is angle of elevation?
" Angle of elevation is defined as the angle formed by the horizontal plane and the observation sight of line."
Formula used
\(tan\alpha =\frac{opposite side}{adjacent side}\)
Value of tan(2.1428) = 64.98degree
According to the question,
Height of the building = 750feet
Distance between building and observer = 350 feet
'θ' be the angle of elevation
Substitute the value in the formula to get angle of elevation,
tanθ = \(\frac{PR}{RS}\)
= \(\frac{750}{350}\)
= \(\frac{15}{7}\)
= \(2.1428\)
Therefore,
θ \(= tan^{-1}(2.1428)\)
\(= 64.98 degrees\)
Hence, angle of elevation is equals to 64.98degree.
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