PRECALC CONIC SECTIONS MATH UESTION HELPPP PLSSSS

Question

Ship A is located 30 miles directly north of ship B. Both ships receive a sonar signal from ship C. However, ship A receives the sonar signal 21.692 seconds before ship B. The rate of a sonar signal is 3320 miles per hour. If ship A and ship B are located at the 2 foci of a hyperbola, build an equation for the hyperbola that would represent the location of ship C. 

ANSWER CHOICES

a	y^2/125−x^2/100=1
b	x^2/125−y^2/100=1
c	x^2/100−y^2/125=1
d	y^2/100−x^2/125=1
e	None of these are correct.

PLEASE show your work or justify your answer.

Answer 1

I will help you to get started. here is one way to start.

The standard form of the equation of a hyperbola with center (0,)) and transverse axis on the x-axis is

(x²/a²) –(y²/b²) =1

length of the transverse axis = 2a

the coordinates of the foci are (0 ± c ) where c = √(a²+b²)

The distance between the foci is 2c.

Alternatively, you can start by drawing a picture and using all the facts about hyperbola.

The most important thing in this question is not the answer. It is to show your work or you can start with what you think is the answer (a or b or c or d or e) and justify.

I will check back in an hour to see your work or your justification and give you my feedback.