The problem asks to find the area of a triangle with a base $b = 15$ and height $h = 22$. The formula for the area of a triangle is:

$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$

Substituting the given values:

$\text{Area} = \frac{1}{2} \times 15 \times 22$

Let's calculate the area:

$\text{Area} = \frac{1}{2} \times 330 = 165$

The area of the triangle is 165 square units.

Would you like more details or have any questions? Here are five related questions to explore further:

1. How does the area of a triangle change if you double the base or the height?
2. Can the height of a triangle ever be outside the triangle itself?
3. How would you calculate the area of a triangle if the height isn't given directly?
4. What are the different ways to express the area of a triangle besides using base and height?
5. How does the Pythagorean theorem relate to right-angled triangles like this one?

Tip: Always ensure the base and height are perpendicular when using the area formula for triangles!