Need help ASAP please for solving this problem did I solve for x did I get the correct answer if I did not can someone give me the correct answer please need ASAP

Need help ASAP please for solving this problem did I solve for x did I get the correct answer if I did not can someone give me the correct answer please need AS class=

Respuesta :

Use the right triangle altitude theorem.

30/x = x/24

x^2 = 30 * 24

x^2 = 2 * 5 * 3 * 8 * 3

x^2 = 16 * 9 * 5

x = 12sqrt(5)

Answer: D.