Question
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
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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