It looks like you have a set of geometry problems related to triangles, and I can help you work through them. Let's address each one based on the given information in the image:

a) Determine the length of $p$:

We have a right-angled triangle with the following values:

• The angle at $K$ is $66^\circ$
• One side is 2.5 km
• The other side is $5.2$ km

We can use trigonometry (likely the sine, cosine, or tangent function) to find the length of side $p$. If the problem involves a right triangle, it may require either the Pythagorean theorem or trigonometric ratios.

b) Determine the value of $\angle V$:

We have a triangle with the following values:

• One angle $32^\circ$
• Two sides: $5.8 \, \text{cm}$ and $11.1 \, \text{cm}$

For this, the Law of Sines or the Law of Cosines may be applicable. Since we have two sides and one angle, the Law of Sines could be a good approach to determine the unknown angle $\angle V$.

c) Determine the length of $r$:

Here we have a triangle with the following values:

• Side $PQ = 15 \, \text{cm}$
• Side $QR = 13 \, \text{cm}$
• Angle $\angle P = 70^\circ$

The Law of Cosines could be used to find the unknown side $r$ because we know two sides and the included angle.

d) Determine the value of $\angle R$:

In this triangle, we are given:

• Side $BR = 10 \, \text{km}$
• Side $RH = 15 \, \text{km}$
• Side $BH = 16.5 \, \text{km}$

Using the Law of Cosines, we can find the value of angle $R$ because we have all three sides.

Would you like me to start solving them step by step for you? Let me know if you need more clarification on any particular part!