To determine the size of angle $\theta$ in the triangle, we can use the cosine rule, which states:

$\cos(\theta) = \frac{b^2 + c^2 - a^2}{2bc}$

Where:

• $a = 74.9 \, \text{m}$ (side opposite to $\theta$),
• $b = 56.3 \, \text{m}$ (one of the adjacent sides),
• $c = 43.6 \, \text{m}$ (the other adjacent side).

Step 1: Substituting values into the cosine rule

[ \cos(\theta) = \frac{(56.3)^2 + (43.6)^2 - (74.9)^}{2 (52)2