1. **State the problem:** Calculate the area of the right triangle inscribed in the circle with base 8 ft and height 15 ft. 2. **Formula used:** The area $A$ of a triangle is given by: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. **Apply the formula:** Base $= 8$ ft, Height $= 15$ ft. 4. **Calculate the area:** $$A = \frac{1}{2} \times 8 \times 15$$ 5. **Simplify:** $$A = \frac{1}{2} \times 120 = 60$$ 6. **Interpretation:** The area of the triangle is 60 square feet. This uses the basic area formula for triangles and the given dimensions directly.