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In this problem, you are asked to find the resultant displacement of your boat, which involves using the Pythagorean theorem. The boat moves across a river that is 35.0 m wide and is carried downstream by the river current, moving a total of 45.0 m along the river. The displacement can be visualized as the hypotenuse of a right triangle, with the width of the river as one leg and the distance moved downstream as the other leg.

The width of the river is \( 35.0 \, \text{m} \) and the distance moved downstream due to the current is \( 45.0 \, \text{m} \). The resultant displacement \( d \) (the hypotenuse) is given by:

\[
d = \sqrt{(35.0)^2 + (45.0)^2}
\]

Let's calculate this.

Starting from one shore, you row a boat across a narrow river to the other shore. The river is 35.0 m wide. As you row, the river current causes your boat to move down the river a distance of 45.0 m. What is the resultant displacement of your boat? Determine the magnitude of the displacement.

Learn how to calculate the resultant displacement of a boat crossing a river. The river is 35.0 m wide, and the boat is carried 45.0 m downstream by the current. This problem uses the Pythagorean Theorem to determine the boat's displacement. Suitable for students in Grades 9-10.

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