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