Two geological field teams are working in a remote area. A global positioning sy
ID: 2000554 • Letter: T
Question
Two geological field teams are working in a remote area. A global positioning system (GPS) tracker at their base camp shows the location of the first team as 31 km away, 15° north of west, and the second team as 27 km away, 37° east of north. When the first team uses its GPS to check the position of the second team, what does the GPS give for the following?
(a) the second team's distance from the first team
? km
(b) the second team's direction from the first team, measured relative to due east
? ° north of due east
Explanation / Answer
position of first team r1 = 31(-cos15i + sin15j)
r1 = - 29.94i + 8.02j km
position of second team r2 = 27 (sin37i + cos37j)
r2 = 16.25i + 21.56j
second team's from first team = r2 - r1
= (16.25i + 21.56j ) - ( - 29.94i + 8.02j )
= 46.19i + 13.54j km
a) distance = magnitude = sqrt(46.19^2 + 13.54^2) = 48.13 km
b) direction = tan^-1(13.54/46.19) = 16.34 deg north of east.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.