Answer:
4.6
Step-by-step explanation:
Use sine rule to find the number that belongs to the box.
Thus:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} [/tex]
a = ?? (the number in the green box)
b = 5
A = 38°
B = 42°
Plug in the values
[tex] \frac{a}{sin(38)} = \frac{5}{sin(42)} [/tex]
Multiply both sides by sin(38)
[tex] \frac{a}{sin(38)} \times sin(38) = \frac{5}{sin(42)} \times sin(38) [/tex]
[tex] a = \frac{5 \times sin(38)}{sin(42)} [/tex]
[tex] a = 4.6 [/tex] (nearest tenth)
