Tammy leaves the office, drives 51 km due north, then turns onto a second highway and continues in a direction of 31◦ north of east for 82 km. What is her total displacement from the office? Answer in units of km.

Question

At what angle is her displacement? (Consider east to be 0◦ and north 90◦.) Answer in units of ◦.

Answer 1

A. Disp. = 51km[90o] + 82km[31o].
Disp. = 51i + (70.29+42.23i) = 70.29 + 93.2i. = sqrt(X^2+Y^2).

B. Tan A = Y/X.

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