Trigonometry anyone?

Answer:
Step-by-step explanation:
When you are looking for missing sides in a right triangle, you only need Pythagorean's Theorem. In #1, we are looking for the hypotenuse length but we have the other 2 sides. Plugging in:
[tex]x^2=10.6^2+4.4^2[/tex] and
[tex]x^2=112.36+19.36[/tex] and
[tex]x^2=131.72[/tex] so
x = 11.5 km
For #2, we have the length of the hypotenuse and 1 side and need the other side:
[tex]12.8^2=12^2+b^2[/tex] and
[tex]163.84=144+b^2[/tex] and
[tex]19.84=b^2[/tex] so
b = 4.5