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delfam
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Vector Help, Finding Angle
Instructions for finding a buried treasure include the following: Go 114.6 paces at 285◦,
turn to 247◦ and walk 112 paces, then travel 399 paces at 284◦. Find the magnitude of the resultant displacement from the starting point.
Answer in units of paces.
What is the direction of the resultant displacement? Use counterclockwise from due East as
the positive angular direction, between the limits of −180◦ and +180◦.
Answer in units of ◦.
arctan(Cy/Cx) = theta c
I did the first part of the problem and got 605.98 paces which I know is correct. So to find the angle in part b i use arctan(Cy/Cx).
arctan(-600.37/82.28) = -82.2, then absolute value it
360 - 82.2 = 277.8 degrees.
Im not sure what I'm doing wrong, I know Cy(-600.37) and Cx(82.28) are right as I got part 1 right. I am having trouble with the wording of part b cause I can't get the right angle.
Homework Statement
Instructions for finding a buried treasure include the following: Go 114.6 paces at 285◦,
turn to 247◦ and walk 112 paces, then travel 399 paces at 284◦. Find the magnitude of the resultant displacement from the starting point.
Answer in units of paces.
What is the direction of the resultant displacement? Use counterclockwise from due East as
the positive angular direction, between the limits of −180◦ and +180◦.
Answer in units of ◦.
Homework Equations
arctan(Cy/Cx) = theta c
The Attempt at a Solution
I did the first part of the problem and got 605.98 paces which I know is correct. So to find the angle in part b i use arctan(Cy/Cx).
arctan(-600.37/82.28) = -82.2, then absolute value it
360 - 82.2 = 277.8 degrees.
Im not sure what I'm doing wrong, I know Cy(-600.37) and Cx(82.28) are right as I got part 1 right. I am having trouble with the wording of part b cause I can't get the right angle.
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