Answer:
10.5 in
Step-by-step explanation:
Given
[tex]tan(55) = \frac{15}{b}[/tex]
Required
Find length AC
The question is not detailed enough; so, I'll assume that b represents line AC.
Having said that;
We start by multiplying both sides by b
[tex]tan(55) = \frac{15}{b}[/tex]
[tex]b * tan(55) = \frac{15}{b} * b[/tex]
[tex]b * tan(55) =15[/tex]
Divide both sides by tan(55)
[tex]\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}[/tex]
[tex]b = \frac{15}{tan(55)}[/tex]
Find tan(55)
[tex]b = \frac{15}{1.42814800674}[/tex]
[tex]b = 10.5031130731[/tex]
[tex]b = 10.5[/tex] (Approximated)
Length AC is 10.5
