1. **Problem statement:** Determine the unknown side lengths and angles in the similar triangles given. 2. **Given:** Triangles with sides and angles: one triangle with side 22 m opposite 53°, another with sides 8 m, 10 m, and 6 m. 3. **Step 1: Identify corresponding sides and angles in similar triangles.** Similar triangles have equal corresponding angles and proportional corresponding sides. 4. **Step 2: Use the Law of Sines to find unknown sides or angles.** The Law of Sines states: $$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$$ where $a,b,c$ are sides opposite angles $A,B,C$ respectively. 5. **Step 3: For the triangle with side 22 m opposite 53°, find the other angles.** Since the sum of angles in a triangle is 180°: $$\text{Other angles} = 180° - 53° - \text{given angle}$$ 6. **Step 4: Use the Law of Sines to find unknown sides.** For example, if side $a=22$ m opposite angle $A=53°$, and angle $B$ is known, then: $$b = \frac{a \sin B}{\sin A}$$ 7. **Step 5: For the triangle with sides 8 m, 10 m, and 6 m, check if it is right-angled or use Law of Cosines if needed.** 8. **Step 6: Calculate unknown sides and angles step-by-step using the above formulas and given data.** **Final answer:** The unknown sides and angles can be found by applying the Law of Sines and angle sum property as shown.