A parallelogram and a rhombus are equal in area

Diagonals $d_{1}$ and $d_{2}$ of the rhombus measure $120 \mathrm{~m}$ and $44 \mathrm{~m}$, respectively.

Base of the parallelogram = 66 m

Now,
Area of the rhombus = Area of the parallelogram

$\Rightarrow \frac{1}{2} \times d_{1} \times d_{2}=$ Base $\times$ Height

$\Rightarrow \frac{1}{2} \times 120 \times 44=66 \times$ Height

$\Rightarrow 60 \times 44=66 \times$ Height

$\Rightarrow 2640=66 \times$ Height

$\Rightarrow$ Height $=\frac{2640}{66}$

$\Rightarrow$ Height $=40 \mathrm{~m}$

Hence, the measure of the altitude of the parallelogram is 40 m.