Question

Find a. If necessary, round your answer to the nearest hundredth.

Answer 1

Answer:

The answer to your question is a = 4.81

Step-by-step explanation:

Process

1.- The angle B and 43° are supplementary

            B + 43° = 180°

            B = 180 - 43

            B = 137°

2.- Calculate angle C

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

     A + B + C = 180°

      29 + 137 + C = 180

- Solve for C

     C = 180 - 29 - 137

     C = 14°

3.- Use the law of signs to find a

            a / sin A = c / sin C

           a / sin 29 = 2.4 / sin 14

- Solve for a

           a = 2.4 sin 29 / sin 14

- Simplification

           a = 2.4 (0.485) / 0.242

- Result

           a = 4.809