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9/20/2017 10:00 PM 0 80/1009/13/2017 11:37 AM Print Calculator Ed Periodic Table

ID: 1656518 • Letter: 9

Question

9/20/2017 10:00 PM 0 80/1009/13/2017 11:37 AM Print Calculator Ed Periodic Table Gradeboo! Question 5 of 13 Sapling Learning At One day you go hiking at a nearby nature first, you follow the straight, clearty marked trails. From starting point, you travel 2.00 miles down the 1st rail, Then you tum to your left by 30.0 to follow a 2nd trail for 1.20 miles. Next, you turn to your right by 1 and follow a 3rd trail for are getting very tired and would like to get back as quickly as possible, but all of the a lead you deeper into the woods. You would like to take a shortcut directly trails). How far to your right should you turn, and how far do you have to walk, to go starting point? miles. At this point you trails seem to the woods (ignoring the back to your Feel free to use the provided vector drawing board to help visualize your work 025 miles Number Note: The vector drawing board is meant as a Turnto the right ide and a reality check, but may not give you answers with sufficient precision. It is preferable to calculate the magnitude and direction by hand. Number then walk miles Prev ous Check Answer Next Ext Hint about us careers privacy policy terms of use contact us help 20

Explanation / Answer

The Net displacement along East is:

De = 2 + 1.2 cos30 + 1.9 cos(360 - 160 + 30)

De = 1.82 mi

The net displacement along North is:

Dn = 1.2 sin30 + 1.9 sin(360 - 160 + 30)

Dn = -0.86 mi

theta = tan^-1(-0.86/1.82) = -25.3 deg

Hence, theta = -25.3 deg

D = sqrt (1.82^2 + 0.86^2) = 2.01 m

Hence, D = 2.01 m