Car X and Car Y are five miles apart and are on a collision course Car X is driving directly north and Car Y is driving directly east If the point of impact is one mile closer to the current positio?

Answer 1

if the cars are traveling directly east and north respectively and assuming that they are traveling at the same speed then they form a 45-45-90 triangle with they hypotenuse equal to 5 miles



Y-------------C
|
|
|
X



Y is car y's initial position
X is the same for car X
C is point of collision


the measure segment YC = the measure of segment XC
measure of segment YX = 5


once you get the picture drawn use the pythagorean theorem a^2 + b^2 = c^2


since a = b write 2a^2 = c^2 where c^2 = 25
then find the rest


hope this helps