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📖 Read the passage, then answer the questions below

Each question below describes a short journey using compass directions, turns, and distances. A right turn changes the direction of travel ninety degrees clockwise (for example, from north to east), and a left turn changes it ninety degrees counter-clockwise (for example, from north to west). Unless a question says otherwise, treat every straight-line distance as measured directly between the start and end points of the journey, not along the path actually walked.

Question 1

A person walks 7 km east, then turns left and walks 24 km. What is the straight-line distance from the starting point?

Question 2

A person walks 5 km east, then turns left and walks 12 km, then turns left again and walks 5 km. How far is the person from the starting point, and in which direction?

Question 3

A person walks 18 km west, then turns left and walks 24 km. What is the straight-line distance from the starting point?

Question 4

Consider the following three statements about a person who starts at point X, walks 6 km north, then turns right and walks 8 km to reach point Y: I. The straight-line distance between X and Y is 10 km. II. Point Y is to the north-east of point X. III. If the person then turns right again and walks 6 km, they would be due east of point X. Which of the statements is/are true?

Question 5

A person walks 15 km south, then turns left and walks 20 km. What is the straight-line distance from the starting point?

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