One day you go hiking at a nearby nature preserve. At first, you follow the straight, clearly marked trails. From your statung point, you travel 2.00 miles down the first trail. Then you turn to your left by 30.0° to follow a second trail for 1.60 miles. Next, you turn to your right by 160.0° and follow a third trail for 1.90 miles. At this point you are getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead you deeper into the woods. You would like to take a shortcut directly through the woods (ignoring the trails). How far to your right should you turn, and how far do you have to walk, to go directly back to your starting point? Turn then walk degrees to the right, miles.

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One day you go hiking at a nearby nature preserve. At first, you follow the straight, clearly marked trails. From your starting
point, you travel 2.00 miles down the first trail. Then you turn to your left by 30.0° to follow a second trail for 1.60 miles. Next,
you turn to your right by 160.0° and follow a third trail for 1.90 miles. At this point you are getting very tired and would like to
get back as quickly as possible, but all of the available trails seem to lead you deeper into the woods. You would like to take a
shortcut directly through the woods (ignoring the trails).
How far to your right should you turn, and how far do you have to walk, to go directly back to your starting point?
Turn
then walk
degrees to the right,
miles.
Transcribed Image Text:One day you go hiking at a nearby nature preserve. At first, you follow the straight, clearly marked trails. From your starting point, you travel 2.00 miles down the first trail. Then you turn to your left by 30.0° to follow a second trail for 1.60 miles. Next, you turn to your right by 160.0° and follow a third trail for 1.90 miles. At this point you are getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead you deeper into the woods. You would like to take a shortcut directly through the woods (ignoring the trails). How far to your right should you turn, and how far do you have to walk, to go directly back to your starting point? Turn then walk degrees to the right, miles.
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