Question 1079679
<pre>
Draw this picture:

{{{drawing(200,100,-.5,2,-.5,1.5,line(-3,0,3,0),line(0,-3,0,3), line(0,0,1.5,1),line(1.5,0,1.5,1),locate(.4,.3,theta), locate(1.53,.62,y),locate(.77,0.05,x),locate(.75,.85,r) )}}}

{{{y/x=4}}}

{{{opposite/(adjacent)=4}}}

{{{tan(theta)=4}}}

Take inverse tangents of both sides

{{{theta}}}{{{""=""}}}{{{drawing(70,40,0,2,-1,1.7,locate(0,.9,"tan"^(-1)),locate(1.4,.5,(4)) )}}}

Use calculator:

{{{theta}}}{{{""=""}}}{{{"75.96375653°"}}}

Round off to nearest degree:

{{{theta}}}{{{""=""}}}{{{"76°"}}}

Edwin</pre>