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March 3, 2015

Posted by **Nycw** on Wednesday, July 18, 2012 at 10:01pm.

(a) How far is Joe from his starting position?

(b) In what direction is Joe from his starting position?

- Trig/Physics -
**drwls**, Wednesday, July 18, 2012 at 11:14pmYou left out an important number that is needed to compute the answer. It should follow the first word "direction". How many degrees is the first direction North of East?

- Trig/Physics -
**Nycw**, Wednesday, July 18, 2012 at 11:38pmHi, sorry it was 30 degrees North of East.

- Trig/Physics -
**drwls**, Thursday, July 19, 2012 at 1:18amtotal displacement north

= 5 sin 30 + 10 cos20

= 2.5 + 9.397

= 11.897 miles

total displacement east

= 5 cos30 - 10 sin20

= 4.33 - 3.42

= 0.91 miles

(a) sqrt[(11.897)^2 + (0.91)^2]

= 11.93 miles

(b) direction = tan^-1 0.91/11.897

E of N

= 4.37 deg E of N

- Trig/Physics -
**Nycw**, Thursday, July 19, 2012 at 3:50amHi, thank you so much. Everything I tried hit all around the borders, but just was not working out correctly. I really appreciate your help.

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