Answer:
[tex]\large\boxed{c\approx3.31}[/tex]
Step-by-step explanation:
Use cosine:
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
[tex]\cos\theta=\dfrac{b}{c}[/tex]
We have:
[tex]\theta=25^o\to\cos25^o\approx0.9063\\\\b=3[/tex]
Substitute:
[tex]\dfrac{3}{c}=0.9063[/tex]
[tex]\dfrac{3}{c}=\dfrac{9063}{10000}[/tex] cross multiply
[tex]9063c=30000[/tex] divide both sides by 9063
[tex]c\approx3.31[/tex]
