The length of the base of the ramp is [tex]3.438 in[/tex] .
Given, Skateboarding ramp is 12 inch high and rises at an angle of 17 degrees.
We have to calculate the length of base of the ramp.
For this we uses trigonometric ratio,
We know that, [tex]tan\Theta= \frac{perpendicular}{base}[/tex]
Since the skateboarding ramp rises at an angle of 17 degrees. So here [tex]\theta[/tex] is 17 degree.
Now, [tex]tan17 = \frac{12}{base}[/tex]
[tex]3.49= \frac{12}{base}\\\\\base=\frac{12}{3.49} \\\\base=3.438[/tex]
Hence the length of the base of the ramp is [tex]3.438 in[/tex] .
For more details on Trigonometric ratios follow the link below:
https://brainly.com/question/1201366
