Two students, each riding bicycles, start from the same apartment building and r
ID: 2284600 • Letter: T
Question
Two students, each riding bicycles, start from the same apartment building and ride to the same building on campus, but each takes a different route. The first student rides 1340 m due east and then turns due north and travels another 1430 m before arriving at the destination. The second student heads due north for 1930 m and then turns and heads directly toward the destination.
(a) At the turning point, how far is the second student from the destination?
1 m
(b) During the last leg of the trip, what direction (measured relative to due east) must the second student head? (Give your answer as a positive number from 0 to 180 degrees, either north or south of due east.)
2
Explanation / Answer
A = 1340i + 1430j
for 2nd person
B = 1930j + C
A = B
1340i + 1430j = 1930j + C
C = 1340i - 500 j
l C l = sqrt(1340^2 + 500^2) = 1430 m <------answer
-------------
direction = tan^-1(-500/1340) = 20 degrees south of east
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