A skateboarding ramp is 18 in. High and rises at an angle of 12 degrees. How long is the base of the ramp? Round to the nearest inch.

The Length of the base of of the rame is 84.68 inches, if a skateboarding ramp is 18 inches high and rises at an angle of 12 degrees.

Step-by-step explanation:

The given is,

                 Height of the skate board ramp is 18 inches.            

                 Rises at an angle of 12 degrees.

Step: 1

               Ref the attachment,

               The skateboard ramp arrangement looks like a right angled triangle,

               Trinometric ratio,

                           tan ∅ ...............................(1)

               From the attachmnt,

                                 ∅ = 12°

                            Opp = Height = 18 inches

                              Adj = Base = x

               Equation (1) becomes,

                          tan 12°

             Where, tan 12° = 0.2125566

                   0.2125566

                                    x =

                                     x = 84.68

            Base of the ramp, x = 84.68 inches

Result:

           The Length of the base of of the rame is 84.68 inches, if a skateboarding ramp is 18 inches high and rises at an angle of 12 degrees.

add 5 subtract 1

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!