An airplane undergoes the following displacements, all at the same altitude: First, it flies 59.0 km in a direction 30.0° east of north. Next, it flies 58.0 km due south. Finally, it flies 100 km 30.0° north of west. Use components to determine how far the airplane ends up from its starting point. A) 70.1 km B) 71.5 km C) 68.7 km D) 74.4 km E) 73 km
Answers: 2
![d_{1x}= 59*sin(30) = 29.5[km]\\d_{1y}= 59*cos(30) = 51.09[km]](/tpl/images/0529/9738/48daa.png)
![d_{2y} = - 58 [km]\\](/tpl/images/0529/9738/f9273.png)
![d_{3x}= - 100*cos(30) = -86.6[km]\\d_{3y} = 100*sin(30)= 50 [km]](/tpl/images/0529/9738/18579.png)
![d_{x}=29.5-86.6 = -57.1[km]\\d_{y}=51.09 -58+50=43.09[km]\\\\](/tpl/images/0529/9738/7bd3a.png)
![d = \sqrt{(57.1)^{2} +(43.09)^{2} } \\d= 71.53[km]](/tpl/images/0529/9738/9a4cf.png)
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An airplane undergoes the following displacements, all at the same altitude: First, it flies 59.0 km...
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