Answer:
[tex]\Huge\boxed{D}[/tex]
Step-by-step explanation:
Hello There!
To find the answer we want to find the trigonometric ratio for each answer choice
important note;
[tex]sin =\frac{opposite}{hypotenuse} \\\\cos=\frac{adjacent}{hypotenuse} \\\\tan=\frac{opposite}{adjacent}[/tex]
for A,
the opposite of angle X is 12 and the adjacent of angle x is 5
so [tex]tanX=\frac{12}{5}[/tex] therefore A is not the answer
for B,
the adjacent of angle x is 5 and the hypotenuse is 13
so [tex]cosX=\frac{5}{13}[/tex] therefore B is not the answer
for C,
the opposite of angle W is 5 and the adjacent of angle W is 12
so [tex]tanW=\frac{5}{12}[/tex] therefore C is not your answer
for D,
the adjacent of angle W is 12 and the hypotenuse is 13
so [tex]cosW=\frac{12}{13}[/tex] therefore D is your answer
