Satari Fle Edit view History ics Chapter 1 Problem 1.56 K) 11 of Part A Constant

Question

Satari Fle Edit view History ics Chapter 1 Problem 1.56 K) 11 of Part A Constants Use the method of components to find the distance she has to fly from Manhattan to get back to Lincoln. Express your answer in kilometers to three significant figures. On a training flight, a student plot flies from Lincoln Nebraska to Clarinda, lowa, then to St. Joseph, Missouri, and then to Manhattan, Kansas (Figure 1). The directions are shown relative to north: 0" is north, 90 is east, 180 is south, and 270° is west. ? km Submit Request Answer PartB Find the direction (relative to north) she must fly to get there. Express your answer in degrees to three significant figures. Figure

Explanation / Answer

Part A:

The origin is at Lincoln

x component of distance from Lincoln to Clarinda = 147*sin85=146.44 km

y component of distnace from Lincoln to Clarinda = 147*cos85=12.81 km

Coordinates of Lincoln = (146.44,12.81)

x component of diatnce from Clarinda to St Joseph=106*cos77=23.84 km

y component of distance from Clarinda to St Joseph = -106*sin77=-103.28 km

Coordinates of St Joseph = [(146.44+23.84),(12.81-103.28)]=(170.28,-90.47)

x component of distance from st Joseph to Manhattan = -166*sin55=-135.98 km

y component of distnace from St Joseph to Manhattan = -166*cos55=-95.21 km

Coordinates of Manhattan = [(170.28-135.98),(-90.47-95.21)]=(34.3,-185.68)

distance between Manhattan and Lincoln = sqrt(34.32+185.682)=188.82 km

Part B:

direction in which she has to fly =360- tan-1(34/185.68)=349.62o measured clockwise from North

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.