<PRE><B>Question 1110131</B>

First part of drawing a figure:
Right triangle, height 138, base length x, hypotenuse, r.
x is how far the ground attachment of the guy wire;
71 degrees where guy wire is attached to the ground;
r, the original wire length from top of tower to attachment point on ground at x away from tower base.


{{{138/r=sin(71)}}}

{{{r/138=1/sin(71)}}}

{{{r=138/sin(71)}}}

-

{{{cos(71)=x/r}}}

{{{x=r*cos(71)}}}

{{{x=138(cos(71)/sin(71))}}}



Next triangle, also right triangle, 
leg vertical of 138, 
horizontal leg of x+8, and you can now evaluate this leg;
R, the longer hypotenuse than was r;


Again, you now should have the value of x:
{{{(x+8)^2+138^2=R^2}}}
and with this you should be able to find R.


First question asks for difference between R and r.</PRE>