A team consisting of 4 members joined a relay running competition. The goal is to run a distance equivalent to 15 revolutions around the track field (regardless of the direction). The competition happened in a 1-km radius circular track field with 16 concrete posts positioned around it, as shown in the figure below. Any two consecutive posts labeled with letters have equal distances. The posts labeled with numbers are equidistant from the two posts labeled with letters before and after it. 1. If the first member ran around the field in a counterclockwise direction starting from point A, find the distance (in radians) that he covered when he passed by his initial position twice and stopped at 3, where the second member is waiting. Answer:  _____π 2. However, the second member ran the opposite direction (clock wise). Find the distance (in radians) that he covered if passed by his initial position thrice and stopped at J. Answer:  ______π 3. Starting from J, the third member ran the direction similar as the second did. At what point did the third member stop if he covered a distance equivalent to ​​​25π/3​ radians?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 6E
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22. Read and analyze the problem then do what is asked and answer 1 to3 questions

A team consisting of 4 members joined a relay running competition. The goal is to run a distance equivalent to 15 revolutions around the track field (regardless of the direction). The competition happened in a 1-km radius circular track field with 16 concrete posts positioned around it, as shown in the figure below. Any two consecutive posts labeled with letters have equal distances. The posts labeled with numbers are equidistant from the two posts labeled with letters before and after it.

1. If the first member ran around the field in a counterclockwise direction starting from point A, find the distance (in radians) that he covered when he passed by his initial position twice and stopped at 3, where the second member is waiting.
Answer:  _____π

2. However, the second member ran the opposite direction (clock wise). Find the distance (in radians) that he covered if passed by his initial position thrice and stopped at J.
Answer:  ______π

3. Starting from J, the third member ran the direction similar as the second did. At what point did the third member stop if he covered a distance equivalent to ​​​25π/3​ radians?
Answer: 

D
E
G.
7,
3
Transcribed Image Text:D E G. 7, 3
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