Answer:
Length of board should Jessica buy is 4.4 feets.
Step-by-step explanation:
Height of the ramp = [tex]2\frac{1}{2} ft=\frac{5}{2} ft[/tex]
Distance of the porch from the ground = x
Inclination of the ramp,θ = 35°
In triangle ABC,
AB = [tex]\frac{5}{2} ft[/tex]
AC = x
θ = 35°
According trigonometric ratios:
[tex]\sin \theta =\frac{Perpendicular}{hypotenuse}[/tex]
[tex]\sin 35^o =\frac{AB}{AC}[/tex]
[tex]0.573576=\frac{\frac{5}{2} ft}{x}[/tex]
[tex]x=4.3586 ft\approx 4.4 ft[/tex]
Length of board should Jessica buy is 4.4 feets.
