tammy leaves the office drives 50 km due north, then turns onto a second highway and continues in a direction of 32 degrees north of east for 93 km. At what angle is her displacement? (consider east to be 0 degrees and north 90 degrees)

1 answer

50km N = (0,50)
93km E32°N = (78.9,49.3)

total displacement: (78.9,99.3)

arctan 99.3/78.9 = 51.5° = E51.5°N