Answer:
The value of b is 4 cm.
c is the correct option.
Step-by-step explanation:
From the given diagram, we have
[tex]\tan A=\frac{BC}{AC}\\\\\tan A=\frac{a}{b}[/tex]
Now, given that
a = 3 cm
tan A = 0.75
On substituting these values, we get
[tex]0.75=\frac{3}{b}[/tex]
Cross multiplying, we get
[tex]0.75b=3[/tex]
Divide both sides by 0.75
[tex]b=\frac{3}{0.75}\\\\b=4[/tex]
The value of b is 4 cm.
c is the correct option.
