Answer : The length of the ramp to the nearest inch will be, 129.49
Step by step explanation :
As we know that,
[tex]\sin \theta =\frac{Perpendicular}{Hypotaneous}[/tex]
In the given image, the value of [tex]\theta[/tex](the angle between the base and the hypotaneous) is [tex]8^o[/tex] and the value of perpendicular is 18 inch.
Now we have to calculate the value of the hypotaneous by using above expression, we get
[tex]\sin \theta =\frac{Perpendicular}{Hypotaneous}[/tex]
[tex]\sin 8^o=\frac{18inch}{Hypotaneous}[/tex]
[tex]0.139=\frac{18inch}{Hypotaneous}[/tex]
[tex]Hypotaneous=\frac{18inch}{0.139}[/tex]
[tex]Hypotaneous=129.49inch[/tex]
The hypotaneous is equal to the length of the ramp = 129.49 inch
Therefore, the length of the ramp to the nearest inch will be, 129.49
