Respuesta :

Answer:

56.27 in

Step-by-step explanation:

You can determine the length of the missing side IH by using sine law.

In the form of a/sinA = b/sinB = c/sinC, you can substitute an angle and its corresponding side, which in this case is angle I and side i, and do so with the other angle, which is angle X and side x.

   74      =    IH  

sin97        sin49

after this, multiply both sides by sin49 to isolate side IH -

(sin49) x   74   = IH

               sin97

now plug all the numbers into a calculator and you will get the answer, 56.26792; when rounded, it should be 56.27 in.