Can ya'll help me with this question

Factorize: x^2+8x+10 i just solved it but i don't know if the process is correct

Find the value of the cosine for angle a

Television sizes are based on the length of the diagonal of the television's rectangular screen. so, for example, a 70-inch television is a television having a diagonal screen length of 70 inches. if a 70 inch television's diagonal forms a 29°angle with the base of the screen, what is the vertical height (1) of the screen to the nearest inch? 70 inhin