1. ## hyperbola/lightning strike

Two people, standing 1 mile apart, both see a flash of lightning. After a period of time, a person at point 'A' hears thunder. 2 seconds pass, and then person at point 'B' hears thunder. Assume that person at point 'B' is due West of person at point 'A' and the lightning strike is known to have occured due North of person at point 'A'. Where did the lightning strike? Graph the solution.

Sound travels at 1100 ft. per second
1 mile is 5280 ft.

2. Hello, tle8807!

You don't need hyperbolas for this . . . just Pythagorus.

Two people, standing 1 mile apart, both see a flash of lightning.
After a period of time, a person at point 'A' hears thunder.
Two seconds pass, and then person at point 'B' hears thunder.
Assume that person at point 'B' is due West of person at point 'A'
and the lightning strike is known to have occured due North of person at point 'A'.
Where did the lightning strike? Graph the solution.

Sound travels at 1100 ft. per second
1 mile is 5280 ft.
Code:
                        L
*
/ |
/   |
/     |
x+2200  /       |
/         | x
/           |
/             |
/               |
* - - - - - - - - *
B       5280      A

$AB = 5280$ feet.
The lightning strikes at $L.$
Let $x = AB$

Point $B$ is 2200 feet further from $L$: . $BL \:=\:x+2200$

Pythagorus says: . $x^2 + 5280^2 \:=\:(x+2200)^2$

. . and we have: . $4400x \:=\:23,038,400\quad\Rightarrow\quad x \:=\:5236$ feet.

3. ## Thanks

I ended up figuring it out last night. Thanks anyways.

,

,

### suppose that two people are standing 1mile=5280feet apart both see a flash of lightening. after a period of time the person standing at A hears the thunder. if the person at point B is due west of the person at A. where did the lightening stike?

Click on a term to search for related topics.