Respuesta :

Answer:

C

Step-by-step explanation:

We require to find DC

ΔDEC and ΔBAC are similar triangles, hence the ratios of corresponding sides are equal, that is

[tex]\frac{ED}{AB}[/tex] = [tex]\frac{DC}{BC}[/tex], that is

[tex]\frac{11.5}{23.5}[/tex] = [tex]\frac{DC}{44}[/tex] ( cross- multiply )

23.5DC = 506 ( divide both sides by 23.5 )

DC ≈ 21.532

distance travelled = BC + DC = 44 + 21.532 ≈ 65.5 in → C