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March 17, 2026Mathematics

ScanSolve AI Answer

March 17, 2026

Answer

13 km

Step 1: The displacement forms a right triangle with legs equal to the south distance and east distance.

The magnitude of displacement is given by the Pythagorean theorem:

$d = \sqrt{(distance_{south})^2 + (distance_{east})^2}$

Step 2: Substitute the given distances (assuming 5 km south and 12 km east from the image).

$d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$

Step 3: Include units.

The straight-line displacement is 13 km.

$\boxed{13 km}$

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Quick Answer

The displacement forms a right triangle with legs equal to the south distance and east distance.

Asked on March 17, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 17, 2026

Step 1: The displacement forms a right triangle with legs equal to the south distance and east distance. The magnitude of displacement is given by the Pythagorean theorem: d = sqrt((distance_south))^2 + (distance_east)^2 Step 2: Substitute the given distances (assuming 5 km south and 12 km east from the image). d = sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169) = 13 Step 3: Include units. The straight-line displacement is 13 km. 13 km