Answer:
Option A is correct
[tex]\tan 30^{\circ} = \frac{5}{b}[/tex]
Step-by-step explanation:
Using tangent ratio:
[tex]\tan \theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
As per the statement:
In right angle triangle ACB:
Opposite side = BC = 5 cm
Adjacent side = AC = b cm
Hypotenuse side = AB = 10 cm
then;
[tex]\tan 30^{\circ} = \frac{BC}{AC}[/tex]
Substitute the given values we have;
[tex]\tan 30^{\circ} = \frac{5}{b}[/tex]
Therefore, the equation can be used to solve for b is, [tex]\tan 30^{\circ} = \frac{5}{b}[/tex]
