Question

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.

Answer 1

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.

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 ∅
`= (Opp)/(Adj)`...............................(1)

From the attachmnt,

∅ = 12°

Opp = Height = 18 inches

Adj = Base = x

Equation (1) becomes,

tan 12°
`= (18)/(X)`

Where, tan 12° = 0.2125566

0.2125566
`= (18)/(X)`

x =
`(18)/(0.2125566)`

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.