1. Problem 6: Determine angle C in a right triangle with sides CB = 5 cm, CA = 13 cm, and angle B = 90°. 2. Use the Pythagorean theorem to find side AB: $$AB = \sqrt{CA^2 - CB^2} = \sqrt{13^2 - 5^2} = \sqrt{169 - 25} = \sqrt{144} = 12\text{ cm}$$ 3. To find angle C, use the tangent function: $$\tan(C) = \frac{\text{opposite}}{\text{adjacent}} = \frac{CB}{AB} = \frac{5}{12}$$ 4. Calculate angle C: $$C = \tan^{-1}\left(\frac{5}{12}\right) \approx 22.62^\circ$$ 5. Round to the nearest degree: $$C \approx 23^\circ$$ 6. Problem 7: A flagpole creates a 7.9 m long shadow. To find the height of the flagpole, we need the angle of elevation or additional information, which is missing. Please provide the angle of elevation or more data.