Trig Application: how to draw side view of shed's roofline

[mj226]

I have been stuck on a single trig question for a long time. All i need help with is how to set up the problem (a picture or visual representation of the problem)

A flat roof rises at a 31 degree angle from the front wall of a storage shed to the back wall. The front wall is 9.5ft tall and the back wall is 16.7 feet tall. Find the length of the roofline and the depth of the shed from the front to the back. Round your answers to the nearest tenth of a foot.

How would you draw that??

Please help, but do not give me the answer just help me by suggesting a way to draw that or something.

 

[soroban]

Re: Trig Application

Hello, mj226!

A flat roof rises at a 31[sup:16cc1yez]o[/sup:16cc1yez] angle from the front wall of a storage shed to the back wall.

The front wall is 9.5 ft tall and the back wall is 16.7 ft tall.

Find the length of the roofline and the depth of the shed from the front to the back.
Round your answers to the nearest tenth of a foot.

How would you draw that?

                      *   -
                  *   |   :
              *       |   :
          * 31o       |   :
   -  * - - - - - - - |   :
   :  |               | 16.7
   :  |               |   :
  9.5 |               |   :
   :  |               |   :
   :  |               |   :
   -  *---------------*   -

 

[mj226]

Re: Trig Application

thank you so much. I could not think at all. i appreciate the help.