1. **State the problem:** We need to find the length $g$ in a right triangle with a horizontal base of 2.8 cm, a left base angle of 25°, and a top right angle of 36°. The vertical side on the right is $g$. 2. **Identify known angles and sides:** The triangle has a right angle at the bottom right corner, so the angles are 90°, 25°, and 65° (since $180° - 25° - 90° = 65°$). The side opposite the 25° angle is $g$, and the base adjacent to the 25° angle is 2.8 cm. 3. **Use trigonometric ratios:** Since $g$ is opposite the 25° angle and the base is adjacent, we use the tangent function: $$\tan(25°) = \frac{g}{2.8}$$ 4. **Solve for $g$:** $$g = 2.8 \times \tan(25°)$$ 5. **Calculate $g$:** $$g = 2.8 \times 0.4663 = 1.3056$$ 6. **Round to 2 significant figures:** $$g \approx 1.3$$ cm **Final answer:** The length $g$ is approximately 1.3 cm to 2 significant figures.