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Answer:
The answer is option B. Kyle is farther from the center of the oval.
To justify this, we can use the Converse of Hinge Theorem which states that if the longest side of a triangle is opposite to the largest angle, then the triangle is the largest among the other triangles formed by the same set of sides.
If we draw the paths of Kerl and Kyle on the oval, we can see that they form a right triangle. The longest side of the triangle is the one connecting Kerl and Kyle, which is opposite to the right angle. Thus, the Converse of Hinge Theorem applies.
Since Kyle skates 4 kilometers to the right and 5 kilometers to the west, his total displacement is 5 - 4 = 1 kilometer to the west. Then, he skates 4 kilometers at an angle of 70° to the right, which is equivalent to 20° to the left. Using trigonometry, we can find that his displacement to the south is 4 x sin(20°) = 1.37 kilometers.
On the other hand, Kerl skates 4 kilometers to the east and 5 kilometers to the south, resulting in a displacement of 4 kilometers to the east and 5 kilometers to the south. Using the Pythagorean theorem, we can find that his total displacement is sqrt(4^2 + 5^2) = 6.4 kilometers.
Therefore, Kyle is farther from the center of the oval than Kerl.