Answer:
X2 - X1 = 7 - 1 = 6
Y2 - Y1 = 8 - 3 = 5
L = (6^2 + 5^2)^1/2 = 7.81
2/3 L = 5.21 length of segment
Tan θ = 5 / 6 = .833 slope of line
θ = 39.8 deg
5.21 * sin 39.8 = 3.34
5.21 * cos = 39.8 = 4.00 gives length of line segments
x2 = 1 + 4 = 5
y2 = 3 + 3.34 = 6.34
(5, 6.34) = point 2/3 up the line
Check (length of line)
[(5 - 1)^2 + (6.34 - 3)^2]^1/2 =
l = 5.21 correct length for line segmet