We have a right triangle we will use a trigonometric function in this case we will use the cosine
[tex]\cos (\theta)=\frac{AS}{H}[/tex]where
θ=62
AS= adjacent side= x
H=hyphotenuse=96
we substitute the values
[tex]\cos (62)=\frac{x}{96}[/tex]then we isolate the x
[tex]x=\cos (62)\cdot96=45.06[/tex]round to the nearest tenth of a foot x=45.1 ft
