1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
3 years ago
8

An army base in the desert is located at the origin, O of an x-y coordinate system. A soldier at point P needs to determine his

coordinates with respect to the army base, but he does not have a link to a global positioning system. He is, however, in radio contact with several small towns in the vicinity. Two of the towns are town A and town B. Town A is 32 miles due south of the army base; town B is 18 miles north of the base. At an agreed-upon instant, both towns send out identifying radio signals. The soldier receives the signal from B slightly before the signal from A, so he knows that he is closer to B than to A. Furthermore, by measuring the time difference between receiving the two signals, the soldier is able to compute that he is 40 miles closer to town B than to town A. Explain why the point P must lie on a certain hyperbola.
Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer/step-by-step explanation

The soldier at point P lie on a parabola because he determined his position and distances from towns A and B through measurement of the difference in timing (phase) of radio signals received from the two towns.

This analysis of the signal time difference gives the difference in distance of the soldier at P, from the towns.

This process is known as hyperbolic navigation.

These distances of point P from towns A and B is estimated by the soldier at point P, by measuring the delay localizes the receiver to a hyperbolic line on a chart.

Two hyperbolic lines will be drawn by taking timing measurements from the

towns A and B .

Point P will be at the intersection of the lines.

These distances of point P(The soldier's positions) from town A and town B were determined using the timing of the signals received from the two towns, due to the fact that point P was on a certain hyperbola.

You might be interested in
What is add 2x-1 to 5x+ 4? Thanks
Maksim231197 [3]

for this problem the answer is  9x-3

7 0
3 years ago
Read 2 more answers
I'm sry pls help! im bad at math:(((​
Basile [38]
Choice B: I’m good a math and

STEP BY Step EXPLAINATION: 45 is double 25 and if you double 3.49=6.98 and choise B shows 4.79 soooo it’s choise B boooom.

Pls mark me Brainlyist
5 0
3 years ago
I need to get slope intercept form
hjlf
The slope intercept form might be: -2/3x+490
7 0
3 years ago
A) how many 15-year old students took part in the survey?
trapecia [35]

Answer: 60 or something near that sorry if wrong

Step-by-step explanation:

8 0
3 years ago
P(2,4),parallel to y=-3×+4
daser333 [38]
4 = - 3(2) + c
4 = - 6 + c
c = 10
y = - 3x + 10
5 0
3 years ago
Other questions:
  • WILL GIVE BRAINLIEST, 5/5 RATING, AND LIKE!!!
    11·1 answer
  • Three rational numbers between 5/31 and 6/31
    8·1 answer
  • A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.
    5·1 answer
  • A problem states: "There are 3 more baseballs than bats in a dugout. There are 15 bats and baseballs in the dugout in all. How m
    6·2 answers
  • The width of a grain of sugar is 0.7 millimeter. What will be the width of the grain of sugar in centimeters under magnification
    14·1 answer
  • What is the area of the sector bound by the center of the circle and arc CD in the circle below? (1 point) Circle A is shown wit
    9·1 answer
  • Help please 15 point and explanation would be great
    6·1 answer
  • Select the correct answer.
    11·2 answers
  • AHH I SHALL GIVE U POINTS FOR THIS CAUSE I AM LAZY AND DON'T WANNA DO IT ON MY OWN
    8·2 answers
  • A boat can travel 120 kilometers on 60 liters of gas. How far can it travel on 197 liters
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!