Two bicyclists, starting at the same place, are riding toward the same campgroun
ID: 1414632 • Letter: T
Question
Two bicyclists, starting at the same place, are riding toward the same campground by two different routes. One cyclist rides 1490 m due east and then turns due north and travels another 1430 m before reaching the campground. The second cyclist starts out by heading due north for 1780 m and then turns and heads directly toward the campground.
(a) At the turning point, how far is the second cyclist from the campground?
m
(b) In what direction (measured relative to due east) must the second cyclist head during the last part of the trip?
Explanation / Answer
The two side of the traingle have lenghts of 1490 m and 1780 m - 1430 m = 350 m
d = sqrt (1490)^2 +( 350)^2 = 1530.55 m
theta = tan^-1 ( 350 m/1490 m) = 13.21 degree south of east