Asked by Ava
an automobile travels 3 miles due north then 5 miles north of east. what is your resultant displacement?
Answers
Answered by
Damon
North of east is not a direction
Do you mean Northeast? North by East? North North East ?
I will assume Northeast which is 45 degrees north of east
If so then:
North 3 + 5 sin 45 = 6.54
East= 0 + 5 cos 45 = 3.54
distance = sqrt (6.54^2 + 3.54^2)
= 7.43 miles
tan angle north of east = 6.54/3.54
angle north of east = 61.6 degrees
so bearing from origin clockwise from north = 90 - 61.6 = 28.4
Do you mean Northeast? North by East? North North East ?
I will assume Northeast which is 45 degrees north of east
If so then:
North 3 + 5 sin 45 = 6.54
East= 0 + 5 cos 45 = 3.54
distance = sqrt (6.54^2 + 3.54^2)
= 7.43 miles
tan angle north of east = 6.54/3.54
angle north of east = 61.6 degrees
so bearing from origin clockwise from north = 90 - 61.6 = 28.4
Answered by
Anonymous
Please correctly understanding.
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