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
[tex]tan\alpha =\frac{opposite side}{adjacent side}[/tex]
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 = [tex]\frac{PR}{RS}[/tex]
= [tex]\frac{750}{350}[/tex]
= [tex]\frac{15}{7}[/tex]
= [tex]2.1428[/tex]
Therefore,
θ [tex]= tan^{-1}(2.1428)[/tex]
[tex]= 64.98 degrees[/tex]
Hence, angle of elevation is equals to 64.98degree.
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