A community for students.
Here's the question you clicked on:
 0 viewing
yajjnobee
 3 years ago
An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 40 steps northeast, then 80 steps 60 degrees north of west, then 50 steps due south.Assume his steps all have equal length. Save him from becoming hopelessly lost in the jungle by giving him the displacement, calculated using the method of components, that will return him to his hut.
yajjnobee
 3 years ago
An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 40 steps northeast, then 80 steps 60 degrees north of west, then 50 steps due south.Assume his steps all have equal length. Save him from becoming hopelessly lost in the jungle by giving him the displacement, calculated using the method of components, that will return him to his hut.

This Question is Closed

elica85
 3 years ago
Best ResponseYou've already chosen the best response.1place the hut at the origin (0,0). first segment is 40 steps northeast. no angle given, assume 45 deg. second segment is 80 steps 60 deg north of west, same thing as saying 60deg clockwise from negative x axis. third segment is 50 steps south, same as 90deg or 270 deg.

elica85
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1324305913684:dw not sure if it should cross the y axis or not but it's not important

elica85
 3 years ago
Best ResponseYou've already chosen the best response.1to break down his path into components, we need the points of x and y. x and y are calculated using i and j components. segment 1: (40cos45)i+(40sin45)j segment 2: (80cos60)i+(80sin60)j negative i component because the direction is going left but still up so positive j component segment 3: (50cos90)i+(50sin90)j i component will cancel since there's no x direction movement

elica85
 3 years ago
Best ResponseYou've already chosen the best response.1add the segments component wise (add i components together, add j components together) which will give you his last position in (x,y) form.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.