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- response: To find the distance between the two docks, we can use the Pythagorean theorem since the distances given form a right triangle. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Given:
- One side along the shore is 110 meters.
- The distance directly across the lake (perpendicular to the shore) is 90 meters.
- We need to find the length of the hypotenuse (X), which represents the distance from one dock to the other.
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