Answer:
42.4
Step-by-step explanation:
What is the angle provided? Well, its 43 degrees. Now we want to figure out the relationship between the given side (the one with length 31) and angle 43 degrees. Its adjacent to it, and since x is the hypotenuse, we know that we are working with cosines.
[tex]cos(43) = 31/x[/tex]
[tex]0.73135 = 31/x[/tex]
[tex]x * 0.73135 = 31[/tex]
[tex]x = 31/0.73135 = 42.4[/tex]
