Question

AB =
Round your answer to the nearest hundredth.
А
20
B
3
С

Answer 1

AB ≈ 8.77

Explanation:

Using the sine ratio in the right triangle

sin20° =
`(opposite)/(hypotenuse)` =
`(BC)/(AB)` =
`(3)/(AB)` ( multiply both sides by AB

AB × sin20° = 3 ( divide both sides by sin20° )

AB =
`(3)/(sin20)` ≈ 8.77 ( to the nearest hundredth )