Hello, I was just wondering if anyone canhelp me with this problemsinces it\'s n

Question

Hello, I was just wondering if anyone canhelp me with this problemsinces it's not in the solution:
Two geological field teams are working in a remote area. A globalpositioning system (GPS) tracker at their base camp shows thelocation of the first team as 35 km away, 23° north of west,and the second team as 35 km away, 33° east of north. When thefirst team uses its GPS to check the position of the second team,what does it give for the second team's (a)distance from them and (b) direction, measuredfrom due east? Thanks. Hello, I was just wondering if anyone canhelp me with this problemsinces it's not in the solution:
Two geological field teams are working in a remote area. A globalpositioning system (GPS) tracker at their base camp shows thelocation of the first team as 35 km away, 23° north of west,and the second team as 35 km away, 33° east of north. When thefirst team uses its GPS to check the position of the second team,what does it give for the second team's (a)distance from them and (b) direction, measuredfrom due east? Thanks.

Explanation / Answer

You need to separate these into components Team 1 - its angle is 157degrees.    x-component = cos 157 * 35km =-32.2km    y-component = sin 157 * 35km = 13.68km Team 2 - its angle is 57 degrees    x-component = cos 57 * 35km = 19.06km    y-component = sin 57 * 35km = 29.35km The difference in its x direction is 51.26km The difference in its y direction is 15.67km To find the distance away, use the pythagorean theorem to findthe distance. The distance away is 53.6km To find the angle, use your y and x values and tangent to findthe angle tan = y/x tan-1 (15.67/51.26) = = 17 degreesnorth of east Hope this helps

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