Answer:
[tex]x = 4 \sqrt{2} [/tex]
Step-by-step explanation:
To find the value of x we can use either sine or cosine
Using cosine we have
[tex] \cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]
From the question
x is the hypotenuse
4 is the adjacent
We have
[tex] \cos45= \frac{4}{x} \\ x \cos45 = 4 \\ x = \frac{4}{ \cos(45) } [/tex]
We have the final answer as
[tex]x = 4 \sqrt{2} [/tex]
Hope this helps you
