Question

AB
Round your answer to the nearest hundredth.
С
50°

6
?
B​

Answer 1

AB ≈ 7.83

Explanation:

Using the sine ratio in the right triangle

sin50° =
`(opposite)/(hypotenuse)` =
`(BC)/(AB )` =
`(6)/(AB)`

Multiply both sides by AB

AB × sin50° = 6 ( divide both sides by sin50° )

AB =
`(6)/(sin50)` ≈ 7.83 ( to the nearest hundredth )