Asked by Adrianna

Two airplanes take off from an airport at the same time. One travels on a heading of 45 at 420 mph and the other on a heading of 150 at 400 mph. After two hours, how far apart are the airplanes?

A.650.66 miles
B.1,160 miles
C.1,301 miles
Answered by Reiny
Use the cosine law, I got 650.66
Answered by Adrianna
Can you tell me how you did it? I got 5 more questions like this one.
Answered by Reiny
are you not familar with the cosine law?
You must have learned this to be able to do this kind of question.
Answered by Adrianna
Yes I am, but I don't understand it. I don't have a teacher to teach me. I do my work online, and I just need 2nd semester of pre-cal to graduate.
Answered by Reiny
x^2 = 420^2 + 400^2 - 2(420)(400)cos 105°
do the arithmetic

I got 105° from the difference between 150° and 45°
Answered by Adrianna
thanks
Answered by Henry
d1 = 420mi/h[45o] * 2h = 840mi[45o]

d2 = 400mi/h[150o] * 2h = 800mi[150o]

D = 840[45o] - 800[150o]

X = 840*Cos45 - 800*cos150 = 1287 mi
Y = 840*sin45 - 800*sin150 = 194 mi

D = sqrt(1287^2+194^2) = 1301.5 mi
Answered by mark
Reiny needs to go back to math class!😏
Answered by h
2021 gang???
Answered by haylee
whos here in 2023?!
Answered by Bot
As an AI Language model, I don't have a defined concept of time. But I'm here 24/7, all year long!