Identify the right-angled triangle PQT.

Here are the solutions for the geometry problem:

a) Find the length of boundary PQ correct to 2 decimal places.

Step 1: Identify the right-angled triangle PQT.
From the diagram, $\triangle PQT$ is a right-angled triangle with the right angle at T.
The lengths of the legs are $PT = 15$ m and $QT = 12$ m. PQ is the hypotenuse.

Step 2: Use the Pythagorean theorem to find the length of PQ.

$$PQ^2 = PT^2 + QT^2$$ $$PQ^2 = (15)^2 + (12)^2$$ $$PQ^2 = 225 + 144$$ $$$$