8. A ship leaves port at 9:00 a. m. and has a bearing of N 70° W. The ship sails at 18 knots. How many nautical miles north and how many nautical miles
west will the ship have traveled by 1:00 p. m.? Draw a picture!
Round to the nearest tenth.

9514 1404 393

24.6 Nm north67.7 Nm west

Step-by-step explanation:

In x-y coordinates, the direction is 70° CCW from 90° (north), so is 160° from the +x axis. In 4 hours at 18 Nm/h, the ship will travel 4×18 Nm = 72 Nm.

The coordinates in the x-y plane can be found to be ...

  72(cos(160°), sin(160°)) ≈ (-67.7, 24.6)

The ship traveled 67.7 nautical miles west and 24.6 nautical miles north from the port.

What’s the improper fraction?

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.