Obtuse angle problem

[WendelLewis]

Hi, how do I figure out that x = 11.66 in the attached problem? Thanks for your help.

 

[soroban]

Hello, WendelLewis!

Is some information missing?

How do I figure out that \(\displaystyle x = 11.66^o\) in the attached problem?

I'd say that it's impossible . . .

We are given this right triangle:

    A * 
      | *
      |   *
      |      *
      | 41.94 *
32.43 |         * 43.6
      |           * 
      |             * 
      |               *
      |                 *
    C *-------------------* B
             29.14

According to the diagram, we can draw any line from \(\displaystyle A\) to side \(\displaystyle BC.\)

    A * 
      |\*
      | \ *
      |x \  *
      |   \   *
32.43 |    \    * 43.6
      |     \     * 
      |      \      * 
      |       \       *
      |        \        *
    C *---------*----------* B
                D
      : - - - 29.14 - - - :

And there is no way to determine \(\displaystyle \angle x \,=\,\angle CAD.\)

 

[WendelLewis]

Thank you for your help Soroban. I should have noticed that earlier... given the info, ANY line could be drawn from point A to line CD. Thanks much.

 

[mmm4444bot]

Thank you for your help Soroban. I should have noticed that earlier... given the info, ANY line could be drawn from point A to line CB.

 

[Aladdin]

Can't we use properties of similar triangles ?

 

[mmm4444bot]

Can't we use properties of similar triangles ?

Yes -- we cannot.

This is because we have no triangle similar to triangle ACD.