Angle Z is congruent to angle C, so angle C measures 4x+8
the sum of the three angles of a triangle is 180, so
50+2x+40+4x+8=180
6x++98=180
6x=82
x≈13.67
Answer:
The given equation is

Which is the definition of the angle of repose.
<em>Remember that the angle of repose refers to the angle between the horizontal plane and the inclined side of the cone formed when we allow to fall freely granular materials.</em>
We know by given

Replacing these values, we have

Therefore, the angle of repose is 38.29° approximately.
Now, if the base diameter is 104 feet, the height would be

Therefore, the height would be 65.8 feet, assuming that the angle of repose is the same.
-13 = xy + z....subtract z from both sides
-13 - z = xy...divide both sides by y
(-13 - z) / y = x
If this is F(x)=-4/(3x)+1 then F(x) approaches zero.
If this is F(x)=-(4/3)x+1 then F(x) approaches minus infinity.