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.