Question 324105



{{{drawing(400,4800/17,-.2,1.5,-.2,1,

line(0,0,1,0), line(0,0,cos(62*pi/180),sin(62*pi/180)),
line(1,0,1+cos(62*pi/180),sin(62*pi/180)),
line(cos(62*pi/180),sin(62*pi/180),1+cos(62*pi/180),sin(62*pi/180)), 
locate(0,0,W),locate(1,0,X), locate(cos(62*pi/180)-.1,sin(62*pi/180),Z)
locate(1+cos(62*pi/180),sin(62*pi/180),Y), locate(.5,0,21ft),
red(arc(0,0,.4,-.4,0,62), locate(.2,.2,"62°"))

)}}}
<pre><b>
Since it's a rhombus, all the sides are equal in length, so
they are all 21ft.  

Since a rhombus is a parallelogram, 

1. its opposite angles are
equal in measure, so angle Y also has measure 62°.

2. its adjacent angles are supplementary, so angles X and Z are
180°-62° or 118° each.

Edwin</pre>