Answer:
[tex]AB=4.41[/tex]
Step-by-step explanation:
Use the cosine ratio, [tex]cosine=\frac{adjacent}{hypotenuse}[/tex] . Insert the values:
[tex]cos25=\frac{4}{x}[/tex]
Isolate x. Multiply both sides by x:
[tex]x*(cos25)=x*(\frac{4}{x})\\\\x*cos25=4[/tex]
Divide both sides by cos 25:
[tex]\frac{x*cos25}{cos25}=\frac{4}{cos25}\\\\x=\frac{4}{cos25}[/tex]
Insert into a calculator:
[tex]x=4.414[/tex]
Round to the nearest hundredth:
[tex]x=4.41[/tex]
Done.
