1. When the airport sends out a rescue crew, how farshould this crew fly to go d
ID: 1759639 • Letter: 1
Question
1. When the airport sends out a rescue crew, how farshould this crew fly to go directly to this plane? 2. Inwhich direction? (Express your answer as an angle measured south ofeast) can youshow steps please? thank you!Explanation / Answer
Sometimes it is easiest to break everything down to components. First displacement is d1 and direction is 68 east of north, whichis 22 north of east Its components are: d1x (x component) and d1y (y component) d1x = d1 cos22 d1y = d1 sin22 Second displacement is d2 and direction is 48 south of east, whichis -48 north of east Its components: d2x = d2 cos(-48) d2y = d2 sin(-48) Main point is to draw a sketch, always do it. So you can determinefor which component to use sin and for whichcos. Also, convert all angles to (I like to do it) degrees north of east(same method of calculating angles is used in math, counterclockwise from x+ axis), so you can apply trigonometry moreeasily. Now, first we need magnitude of displacement: D2 = Dx2 + Dy2 Dx = d1x + d2x = d1 cos22 + d2 cos(-48) = 306.3km (when you put inthe values and use the calculator) Dy = d1y+ d2y = -114.7km (same thing) Now magnitude is calculated from upper formula and direction isgiven by formula: tg = Dy/Dx , where is angle north from east. Note that Dx > 0 and Dy < 0 , so angle between x+ axis anddirection (counterclockwise) would be in fourth quadrant. I think this is all you need for solving your problem. Always use sketch even if someone is explaining something to you,and try to make your sketch to fit what person, who is explaining,is talking about. Also double-check the calculations, because I could have made amistake while writing this. Happy studying! :DRelated Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.