Can you help me? (Only answer if you know)
1 answer:
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if we take 20 to be the 100%, what is 13 off of it in percentage?
Answer: Hi!
First, if you think that a compass has degrees as units, then N50E would be
50 degrees from north in the direction of the east, so if you put our 0 in east and count counterclockwise this will be an angle of 40 degrees.
If you think north has te Y axis positive direction, and east as the X axis positive direction. then the first boat has an angle of 40° counterclockwise from the +x
so the velocity in y is Vy=30mph*sin(40°) and in x is Vx= 30mph*cos(40°)
then the total displacement will be 22.98m to east and 19.28 north
the second one goes to s 70 e, so using the same notation as before, you can write this has -20° degrees count counterclockwise.
so decomposing the velocity will give us
Vy = 26*sin(-20°) and the displacement in Y is -8.89m
Vx = 26*cos(-20°) and the displacement in X is 24.43m
so the distance between the boats in y will be 19.28m - (-8.99)m = 28.27m
and in x: 24.43m - 22.98m = 1.45m
and the total distance is
so D = 28.30 m