Question

A skier moves 100.0 m horizontally, and then travels another 35.0 m uphill at an angle of 35.0º above the horizontal. What is the skier's displacement from his starting point?

Answer 1

Displacement is the minimum distance between two points.

Calculate AB

Answer 2

You can use "the law of parallelograms".
\[AB = \sqrt{AC ^{2}+CB ^{2} - 2 \times AC \times CB \cos <ACB }\]
angle ACB is 180 - 35 = 145 deg