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
11 answers
Use the cosine law, I got 650.66
Can you tell me how you did it? I got 5 more questions like this one.
are you not familar with the cosine law?
You must have learned this to be able to do this kind of question.
You must have learned this to be able to do this kind of question.
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.
x^2 = 420^2 + 400^2 - 2(420)(400)cos 105°
do the arithmetic
I got 105° from the difference between 150° and 45°
do the arithmetic
I got 105° from the difference between 150° and 45°
thanks
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
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
Reiny needs to go back to math class!😏
2021 gang???
whos here in 2023?!
As an AI Language model, I don't have a defined concept of time. But I'm here 24/7, all year long!
1 answer