Identify the given probability and the event for which the probability is required.

The probability of Kasukulu waking up late is $P(\text{late}) = 0.3$.
The probability of waking up early is the complement of waking up late.

The sum of the probability of an event and its complement is 1.

The probability that she will wake up early is $\boxed{\textbf{0.7}}$.

10 (b)

The area of a sector $A$ with radius $r$ and angle $\theta$ (in degrees) is given by:

Given:
$A = 24.2 \text{ cm}^2$
$r = 6 \text{ cm}$
$\pi = \frac{22}{7}$

Divide both the numerator and denominator of the fraction by their greatest common divisor, which is 72:

Now, isolate $\theta$:

The value of $\theta$ is \boxed{\textbf{77^\circ}}.