Two groups of hikers leave the same camp heading in opposite directions. Each group travels 3 km, then change direction and travels 2.5 km. Group A starts due west and then turns 50° toward south. Group B starts due east and then turns 37° toward north. Which group is farther from camp? Explain your reasoning. Draw a diagram that represents the situation and mark the given measures. Find the included angles using linear pairs for the paths that the group travel. Use the theorems on triangle inequalities to interpret and conclude your answer.
Two groups of hikers leave the same camp heading in opposite directions. Each group travels 3 km, then change direction and travels 2.5 km. Group A starts due west and then turns 50° toward south. Group B starts due east and then turns 37° toward north. Which group is farther from camp? Explain your reasoning. Draw a diagram that represents the situation and mark the given measures. Find the included angles using linear pairs for the paths that the group travel. Use the theorems on triangle inequalities to interpret and conclude your answer.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 41E: The following problem is based on the Parallelogram Law. In the scaled drawing, each unit...
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Two groups of hikers leave the same camp heading in opposite directions. Each group travels 3 km, then change direction and travels 2.5 km. Group A starts due west and then turns 50° toward south. Group B starts due east and then turns 37° toward north. Which group is farther from camp? Explain your reasoning.
-
Draw a diagram that represents the situation and mark the given measures.
-
Find the included angles using linear pairs for the paths that the group travel. Use the theorems on triangle inequalities to interpret and conclude your answer.
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