Tammy leaves the office, drives 43 km due north, then turns onto a second highway and continues.....?
Please help! I'll give points to the right answer of whatever
Tammy leaves the office, drives 43 km due north, then turns onto a second highway and continues in a direction of 30◦ north of east for 80 km. What is her total displacement from the office?
and
At what angle is her displacement? (Consider east to be 0◦ and north 90◦.)
please help! I got 40 and 24.8 and they are both wrong :(
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Verified answer
(43,90°) + (80,30°) = (108.1157, 50.1475°)
or you could convert to vectors:
(43,90°) = (43, 0)
(80,30°) = (40, 69.282)
- - - - - -
(43, 0) + (40, 69.282) = (83, 69.282) = (108.1157, 50.1475°)