Answer
We can not construct a triangle with the values given in this question.
Work Step by Step
We can use the law of sines to find the angle $A$:
$\frac{c}{sin~C} = \frac{a}{sin~A}$
$sin~A = \frac{a~sin~C}{c}$
$sin~A = \frac{(10.9~km)~sin~(82.2^{\circ})}{7.62~km}$
$sin~A = 1.417$
Since there is no angle A such that $sin~A \gt 1$, the angle A is not defined. We can not construct a triangle with the values given in this question.
