Question

A troop of girl scouts has three camps: Camp Newton, Camp Aristotle, and Camp Galilei. Camp Galilei is 5.6 km east and 2.2 km north of Camp Aristotle. Emmy and her squad are in Camp Galilei and need to return to the rest of the troop who are in Camp Newton. Emmy only has the instruction to get to Camp Newton from Camp Aristotle along a straight line: “Take 9,540 steps in the direction 25 degrees east of north,” where one step is 0.74 m. a) How far (east/west) and (north/south) is Camp Newton from Camp Galilei? b) How far [in steps!] is Camp Galilei from Camp Newton? c) Emmy leads her squad to Camp Newton using a compass. Find the direction of the straight-line path!

Answer 1

dr any po to .de 2.2km A 5.6 km distance of 9 540 stops 9540 x o tym = 7.06 x 10 m = 7.06 km de = 7. ob sin 25° noth: dna 7. of cos25° = 6.40 lem = 2.98 km east: d along 11 dimensions between N & 6 : (as (N) 5.6 -2.98 = 2.62 kom west 6.40-2.2= 14.20 km north of ☺ po G& N 2.62² +4,262 between (b) displacement - 4.95 km - 4950 m 4950 0.74 = 16689 steps non ☺ 6 - teen (2.62 of steps - (2.62.) west of noth 32° wol N - 31.96 ?

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