Question

Enter the number that belongs in the green box

Answer 1

? ≈ 33.40°

Explanation:

using the Sine rule in the triangle

`(a)/(sinA)` =
`(b)/(sinB)`

with a = 12.34, b = 7 , ∠ A = 76° , ∠ B = ? , then

`(12.34)/(sin76)` =
`(7)/(sin?)` ( cross- multiply )

12.34 × sin? = 7 × sin76° ( divide both sides by 12.34 )

sin ? =
`(7sin76)/(12.34)` . then

? =
`sin^(-1)` (
`(7sin76)/(12.34)` ) ≈ 33.40° ( to the nearest hundredth )