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, △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.
PQ2=PT2+QT2
PQ2=(15)2+(12)2
PQ2=225+144