- #1
Nyxious
- 12
- 0
Hello all! I've been struggling with this problem for a couple of hours and I just can't seem to wrap my head around on how to do it. Here it is:
1. On a safari, a team of naturalists sets out toward a research station located 6.49 km away in a direction 38.5 ° north of east. After traveling in a straight line for 1.91 km, they stop and discover that they have been traveling 14.3 ° north of east, because their guide misread his compass. What are (a) the magnitude and (b) the direction (as a positive angle relative to due east) of the displacement vector now required to bring the team to the research station?I've attempted the question and found the magnitude to be 4.58 km. The angle, however, I can't seem to get. If someone can explain how to get both the magnitude and the angle I would appreciate it very much. The way I found the magnitude was just subtracting the final destination by the distance traveled. I'm not sure this is how it's done.
Attempt
I tried the standard way to get the resultant, but this didn't work for either the magnitude or the angle. I tried finding the x component and y component with the function
x comp = ( 6.49 x Cos 38.5 ) + ( 1.91 x Cos 14.3 )
y comp = ( 6.49 x Sin 38.5 ) + ( 1.91 x Sin 14.3 )
I hope I gave enough information to help someone help me. I really want to learn so a full explanation would be very appreciate. Thanks!
1. On a safari, a team of naturalists sets out toward a research station located 6.49 km away in a direction 38.5 ° north of east. After traveling in a straight line for 1.91 km, they stop and discover that they have been traveling 14.3 ° north of east, because their guide misread his compass. What are (a) the magnitude and (b) the direction (as a positive angle relative to due east) of the displacement vector now required to bring the team to the research station?I've attempted the question and found the magnitude to be 4.58 km. The angle, however, I can't seem to get. If someone can explain how to get both the magnitude and the angle I would appreciate it very much. The way I found the magnitude was just subtracting the final destination by the distance traveled. I'm not sure this is how it's done.
Attempt
I tried the standard way to get the resultant, but this didn't work for either the magnitude or the angle. I tried finding the x component and y component with the function
x comp = ( 6.49 x Cos 38.5 ) + ( 1.91 x Cos 14.3 )
y comp = ( 6.49 x Sin 38.5 ) + ( 1.91 x Sin 14.3 )
I hope I gave enough information to help someone help me. I really want to learn so a full explanation would be very appreciate. Thanks!