Answer:
10.5 in
Step-by-step explanation:
The correct question is
The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of B C is 15 inches. What is the length of Line segment A C?
Note: BC is not the hypotenuse of the right triangle ABC
see the attached figure to better understand the problem
In the right triangle ABC of the figure
we know that
[tex]tan(55^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)
[tex]tan(55^o)=\frac{15}{b}[/tex]
solve for b
[tex]b=\frac{15}{tan(55^o)}[/tex]
[tex]b=10.5\ in[/tex]
