Two geological field teams are working in a remote area. A global positioning sy

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 35 km away, 20°north of west, and the second team as 31 km away, 36° 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
  ° --- Select--- north of due east

east of due south

east of due north

south of due east

Explanation / Answer

here,

location of first team , r1 = 35 km

loctaion of seccond team , r2 = 31 km

(a)

the second team's distance from the first team be r

r = sqrt((35 *cos(20) + 31* sin(36))^2 + (31*cos(36) - 36 * sin(20))^2)

r = 52.68 km

the second team's distance from the first team is 52.68 km

(b)

the second team's direction from the first team be theta from east

theta = arctan( (31*cos(36) - 36 * sin(20))/(36 *cos(20) + 31* sin(36)))

theta = 13.77 degree

the second team's direction from the first team is 13.77degree north of due east

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