Question 948340
The description is like a triangle with base 8 units and angles at the base of 30 degrees and 70 degrees.  Law Of Sines will help to find both of the other sides of this triangle.



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{{{drawing(400,250,-2,10,-2,8,
line(0,0,8,0),
line(0,0,2,5),
line(2,5,8,0),
locate(0.6,0.8,70deg),
locate(6,0.8,30deg)
locate(3.4,-0.3,8ft)
)}}}


Sum of the angles determines the upper angle's measure:
{{{drawing(400,250,-2,10,-2,8,
line(0,0,8,0),
line(0,0,2,5),
line(2,5,8,0),
locate(0.6,0.8,70deg),
locate(6,0.8,30deg)
locate(3.4,-0.3,8ft)
locate(1.6,4.5,80d)
locate(0,3,x)
)}}}


Equation according to Law Of Sines:
x, the shorter side.


{{{x/sin(30)=8/sin(80)}}}


{{{highlight(x=8(sin(30)/sin(80)))}}}
Near to x=4.06