Question

Find the number that belongs in the green box. round your answer to the nearest tenth.​

Answer 1

Answer:

4.6

Step-by-step explanation:

Use sine rule to find the number that belongs to the box.

Thus:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

a = ?? (the number in the green box)

b = 5

A = 38°

B = 42°

Plug in the values

$\frac{a}{sin(38)} = \frac{5}{sin(42)}$

Multiply both sides by sin(38)

$\frac{a}{sin(38)} \times sin(38) = \frac{5}{sin(42)} \times sin(38)$

$a = \frac{5 \times sin(38)}{sin(42)}$

$a = 4.6$ (nearest tenth)