Asked by Mitchel
Suppose you leave home and hike 10 miles due north, then 8 miles in the direction 40° east of north,
and then 6 miles due east.
(a) How far are you from home?
(b) What direction should you hike in
order to return home?
and then 6 miles due east.
(a) How far are you from home?
(b) What direction should you hike in
order to return home?
Answers
Answered by
Damon
same vector stuff like pulling the car
east = 0 + 8 sin 40 + 6
north = 10 +8 cos 40 + 0
dist = sqrt(east^2 + north^2)
tan angle east of N = east/north
(note this is true compass rose angle, not math angle from x axis)
add or subtract 180 depending on if angle was less or more than 180
east = 0 + 8 sin 40 + 6
north = 10 +8 cos 40 + 0
dist = sqrt(east^2 + north^2)
tan angle east of N = east/north
(note this is true compass rose angle, not math angle from x axis)
add or subtract 180 depending on if angle was less or more than 180
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