Answer:
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
