In the LORAN (LOng RAnge Navigation) Radio Navigation System, Two $A$

question 21

Multiple Choice

In the LORAN (LOng RAnge Navigation) radio navigation system, two radio stations located at $A$ and $B$ transmit simultaneous signals to a ship or an aircraft located at $P$ . The onboard computer converts the time difference in receiving these signals into a distance difference $| A | - | B |$ , and this, according to the definition of a hyperbola, locates the ship or aircraft on one branch of a hyperbola (see the figure) . Suppose that station $B$ is located $\mathrm { L } = 480 \mathrm { mi }$ due east of station $A$ on a coastline. A ship received the signal from $B 1280$ microseconds $( \mu s )$ before it received the signal from $A$ .
Assuming that radio signals travel at a speed of $1000 \mathrm { ft } / \mu \mathrm { s }$ and if the ship is due north of $B$ , how far off the coastline is the ship? Round your answer to the nearest mile.

• A) 355 miles
• B) 358 miles
• C) 357 miles
• D) 354 miles
• E) 356 miles

---

Definitions:

Cognitive Outcomes

The results of intellectual processes, including learning, understanding, and applying knowledge and skills.

Skill-Based Outcomes

The specific skills and abilities that participants are expected to acquire as a result of participating in a training program or educational course.

Affective Outcomes

Results relating to changes in feelings, attitudes, or emotional areas of an individual after undergoing a training or learning process.

Workplace Learning

The process of acquiring skills and knowledge through work experiences, which contribute to an individual's professional development.