A skateboard ramp is built with an incline angle of #pi/12#. If the base of the ramp is 1 meter in length, determine the exact height of the ramp?

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Answer 1 · 2018-04-12T09:25:23

#tan(pi/12)# meters.

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From the diagram:

We are looking for side #bba#:

Using the tangent function:

#tan(theta)="opposite"/"adjacent"#

#:.#

#tan(pi/12)="opposite"/"adjacent"=a/1#

Rearranging:

#a=tan(pi/12)#

So height of ramp is:

#tan(pi/12)# meters.