Find the value of x

Look at the picture^^

Answer with work please I need help???

Don’t mind the work in the box I didnt have space on the other question.

Find the value of x Look at the picture Answer with work please I need help Dont mind the work in the box I didnt have space on the other question class=

Respuesta :

Answer:

9.3 units

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {x}^{2} + {(18 - 5)}^{2} = {16}^{2} \\ \\ {x}^{2} + {13}^{2} = {16}^{2} \\ \\ {x}^{2} + 169 = 256 \\ \\ {x}^{2} = 256 - 169 \\ \\ {x}^{2} = 87 \\ \\ x = \sqrt{87} \\ \\ x = 9.32737905 \\ \\ x \approx9.3[/tex]