1) Reflection coefficient: Γ = (ZL−Z₀)/(ZL+Z₀) = (32+j120)/(112+j120) = 0.757∠28.1° → |KR|=0.757, θR≈28°.
VSWR: S = (1+|Γ|)/(1−|Γ|) = 1.757/0.243 ≈ 7.2.
2) Theoretical check: the magnitude and angle above come straight from the complex formula and match the Smith-chart reading.
3) At d=1.2λ: impedance repeats every λ/2, so 1.2λ ≡ 0.2λ (βd = 72°, tan = 3.08). With Zd = Z₀(ZL+jZ₀tanβd)/(Z₀+jZLtanβd) → Zd ≈ 7.6 − j24 Ω, and Yd = 1/Zd ≈ (0.012 + j0.038) S.
4) Distances: first voltage maximum at dmax = θR·λ/(4π) ≈ 0.039λ ≈ 5.9 cm; first minimum a quarter-wave further, dmin = dmax + λ/4 ≈ 0.289λ ≈ 43.4 cm (with λ = c/f = 1.5 m).
5) λ/4 transformer (Z₀₁>Z₀): place it where the line impedance is purely real and maximum — at a voltage maximum, d = dmax ≈ 0.039λ from the load. There Z = Z₀·S = 40×7.2 = 289 Ω, so Z₀₁ = √(Z₀·Z) = Z₀√S = 40√7.2 ≈ 107.6 Ω (> Z₀ ✓).

Note: the exact Zd, Yd, dmax, dmin are normally read off the Smith chart; the values above are the theoretical equivalents and agree with the chart to plotting accuracy.