Step 1

Define accuracy and precision of values.

An accurate value is judged to be closer to true to value, whereas precision is the consistency between values obtained by repeated measurements.

Here, Luka's measurements are 59 in,58 in, 58 in and Anja's measurements are 59.3 in, 59.6 in,58.2 in

Step 2

The average of Luka's measurements is,

$A=\frac{59+58+58}{3}=58.33$in.

The average of Anja's measurements is,

$A=\frac{59.3+59.6+58.2}{3}=59.03$in.

The Anja's measurements are more close towards true value. Thus, it is more accurate.

The recordings of Luka is more precise, because the degree of closeness is high compared to Anja.

Therefore, Option (C) is correct.