Question

Find the number that belongs in the green box.

round your answer to the nearest tenth.​

Answer 1

4.6

Explanation:

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

Thus:

`(a)/(sin(A)) = (b)/(sin(B))`

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

b = 5

A = 38°

B = 42°

Plug in the values

`(a)/(sin(38)) = (5)/(sin(42))`

Multiply both sides by sin(38)

`(a)/(sin(38)) * sin(38) = (5)/(sin(42)) * sin(38)`

`a = (5 * sin(38))/(sin(42))`

`a = 4.6` (nearest tenth)