Answer:
56.27 in
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.