AB
Round your answer to the nearest hundredth.
С
4
A
25°
?
B

Answer:
AB ≈ 4.41
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{AB}[/tex] ( multiply both sides by AB )
AB × cos25° = 4 ( divide both sides by cos25° )
AB = [tex]\frac{4}{cos25}[/tex] ≈ 4.41 ( to the nearest hundredth )