Answer:
\(x=tan^{-1} (\frac{12}{5})\)
Step-by-step explanation:
we know that
In the right triangle ABC of the figure
The measure of angle BAC is equal to angle x
Applying the sine
\(sin(x)=\frac{BC}{AB} =\frac{12}{13}\)
\(x=sin^{-1} (\frac{12}{13})\)
Applying the cosine
\(cos(x)=\frac{AC}{AB} =\frac{5}{13}\)
\(x=cos^{-1} (\frac{5}{13})\)
Applying the tangent
\(tan(x)=\frac{BC}{AC} =\frac{12}{5}\)
\(x=tan^{-1} (\frac{12}{5})\)
