This is the 16583rd most frequent Russian word.
сгоревшего
"Сгоревшего" means "burned" or "burnt."
Here, 'сгоревшего' is a participle used to describe the house as 'burnt' or 'destroyed by fire'.
Я видел остатки сгоревшего дома утром.
I saw the remnants of a burnt house in the morning.
In this sentence, 'сгоревшего' is used as an adjective describing the state of the table after being burnt.
Она подняла фотографию с сгоревшего стола.
She picked up a photograph from the burnt table.
Here, 'сгоревшего' qualifies the forest, indicating it had been affected by fire and described as 'burnt'.