Find the missing side CH. Round answer to the nearest tenth.

The answer to your question is CH = 3.6 in

Step-by-step explanation:

Data

∠H = 35°

∠C = 100°

∠I = ?

CH = ?

HI = 5

CI = ?

Process

1.- Calculate the value of ∠I

The sum of the interior angles in a triangle equals 180°

        ∠C + ∠H + ∠I = 180

-Substitution

        100 + 35 + ∠I = 180

-Solve for ∠I

         ∠I = 180 - 100 - 35

- Result

         ∠I = 45°

2.- Use the law of signs to find CH

                    CH / sin I  =  5 / sin 100

- Solve for CH

                    CH = 5 sin 45 / sin 100

-Simplification

                    CH = 5 (0.71) / 0.985

-Result

                    CH = 3.6 in