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

question 138

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:

Marginal Revenue

The extra revenue produced by the sale of an additional unit of a product or service.

Relatively Elastic

A characteristic of a good or service with a demand that is sensitive to changes in price, meaning that small changes in price lead to larger changes in quantity demanded.

Marginal Revenue

The surplus earnings obtained from the sale of one extra unit of a product or service.

Total Revenue

The overall income generated by a business from its sales activities, calculated by multiplying the price of goods by the quantity sold.