TEACHER-GUIDE-VERIFIED · TG-V9-023

4. A rover is 6 km east and 8 km north of base. Find its direct distance.

Verified solution

Solution: c = sqrt(6^2+8^2) = sqrt(100) = 10 km.

Source: Teacher Guide V9 · English V9. Match the numbers and wording in your printed question before using this solution.

VIDEO HELP · TG-V9-023

Pythagorean Theorem: Find the Rover’s Distance | 6–8–10 Triangle (TG-V9-023)

Use the Pythagorean theorem to find a rover’s direct distance from base: 6² + 8² = 100, so c = 10 km. Identify the perpendicular legs and hypotenuse, take the positive square root, and check the result.

Space Math Explorers · approved worked example · 2:29 · Watch on YouTube

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These pages reproduce verified solution steps for the registered V9 questions. It does not diagnose learning needs or replace instruction from a qualified teacher or tutor.