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
            
            
        A.650.66 miles
B.1,160 miles
C.1,301 miles
Answers
                    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.
    
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°
    
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
    
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!
    
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