Question 1172081
<pre>

{{{drawing(400,47200/141,-.25,2.57,-.25,2.11,

line(0,0,2.32193297,0),line(0,0,2.32193297,.6071468375),
line(2.32193297,0,2.32193297,.6071468375),line(2.32193297,.6071468375,
2.32193297,1.8571468375),line(0,0,2.32193297,1.8571468375),
locate(1.1,.43,240), locate(.55,.13,theta), locate(.9,-.02,240cos(theta)),
locate(1.82,.32,240sin(theta)),locate(2.13,1.17,125),locate(.39,.33,25^o)



 )}}} 

{{{tan(theta+25^o) = (240sin(theta) + 125)/(240cos(theta)))}}}

You can solve that with a TI-84 calculator, using X for &theta;:

Put the calculator in degree mode if it isn't already. (Press MODE, highlight DEGREE)
Press Y=
Put (240sin(X)+125)/(240cos(X)) for Y1
Put tan(240+25) for Y2
Press ZOOM 7 
Wait till it finishes graphing
Press 2nd trace 5
Press enter 3 times

Read this:
 
Intersection
X=10.764405      Y=0.7202788

That value for X is the answer in degrees.

Edwin</pre>