Two bicyclists, starting at the same place, are riding toward thesame campground
ID: 1734940 • Letter: T
Question
Two bicyclists, starting at the same place, are riding toward thesame campground by two different routes. One cyclist rides1490 m due east and then turns due northand travels another 1430 m before reaching the campground. Thesecond cyclist starts out by heading due north for 2010 m and then turns and heads directly toward thecampground. (a) At the turning point, how far is the secondcyclist from the campground?1 m
(b) What direction (measured relative to due east) must the secondcyclist head during the last part of the trip?
2° 3---Select---northsouth of east (a) At the turning point, how far is the secondcyclist from the campground?
1 m
(b) What direction (measured relative to due east) must the secondcyclist head during the last part of the trip?
2° 3---Select---northsouth of east
Explanation / Answer
cyclist1 1490 x + 1430 y cyclist 2 2010 y and then turns and heads directly toward the campground. c1-c2 = 1490x-580y distance left = (x^2+y^2)^(1/2) = 1598.9m because the cyclist already past the y distance then we'll fin theangle south of west, then to change to north of east we just add180 sin=580/1598.9 >> = 21.27 so angle is 201.27 north of east