Final answer:
A child with hematuria following respiratory symptoms may have acute post-streptococcal glomerulonephritis but requires further tests for a definitive diagnosis.
Step-by-step explanation:
A child presenting with hematuria following symptoms of a runny nose, sore throat, and cough could be experiencing an upper respiratory tract infection that has potentially led to an acute post-streptococcal glomerulonephritis (APSGN), especially if the infection was caused by certain strains of streptococcus bacteria. However, these symptoms could also be indicative of other conditions, and a thorough clinical examination and additional diagnostic tests, such as a throat swab, blood tests, and potentially a kidney ultrasound, would be necessary to confirm the diagnosis. It is important to seek medical attention to address the underlying cause and to receive appropriate treatment.