1. **Problem Statement:** Find the lengths of the sides labeled $y$ and $z$ in two right-angled triangles where each triangle has a given side length adjacent to a given angle. 2. **Triangle (c):** Given side adjacent to $25^\circ$ is 13 cm, and the opposite side is $y$. Using the tangent function (opposite/adjacent), we have: $$ \tan 25^\circ = \frac{y}{13} $$ Multiply both sides by 13: $$ y = 13 \tan 25^\circ $$ Calculate: $$ y \approx 13 \times 0.4663 = 6.0629 $$ So, $y \approx 6.06$ cm. 3. **Triangle (d):** Given side adjacent to $29^\circ$ is 14 cm, and the opposite side is $z$. Using the tangent function: $$ \tan 29^\circ = \frac{z}{14} $$ Multiply both sides by 14: $$ z = 14 \tan 29^\circ $$ Calculate: $$ z \approx 14 \times 0.5543 = 7.7602 $$ So, $z \approx 7.76$ cm. **Final Answers:** $$ y \approx 6.06 \text{ cm}, \quad z \approx 7.76 \text{ cm} $$