A vessel steams 666 miles on course 295°T...

Question 1 of 2707066636eea28f7522a1c51b80b

A vessel steams 666 miles on course 295°T from LAT 24°24'N, LONG 83°00'W. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

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Question 1 of 27070

A vessel steams 666 miles on course 295°T from LAT 24°24'N, LONG 83°00'W. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

🔍 Key Concepts

• Mid-latitude sailing formula for difference of longitude: $DLo = \frac{D \cdot \sin(C)}{\cos(\text{Mid-Lat})}$ • Relationship between course 295°T and its north/south and east/west components • Converting minutes of latitude to nautical miles and then back from distance to change in latitude

💭 Think About

• First, figure out whether the latitude will increase or decrease when steaming on course 295°T in the Northern Hemisphere. • Compute the difference in latitude from the north/south component of the 666-mile run, then use that to find the mid-latitude. • Use the mid-latitude and the course to estimate the change in longitude and see which option’s longitude change best matches your computed DLo.

✅ Before You Answer

• Check your quadrant: course 295°T lies between 270° and 360°, so decide if you are going NW, NE, SW, or SE. • Verify the signs (E or W, N or S) of both your $\Delta \text{Lat}$ and $\Delta \text{Long}$ before comparing to the choices. • Confirm that your computed latitude and longitude are each within about 1–2 minutes of one of the answer options, indicating reasonable rounding.