Question

A person walks 2.0 m [E 20° S], then 4.0 m [S]. Find the total displacement using trigonometry (sine and cosine laws).

Answer 1

Where x is the total displacement

We can find x using the cosine law:

`\begin{gathered} x=\sqrt[]{4^2+2^2-2(2)(4)\cos (110)} \\ x=\sqrt[]{20-16\cos (110)} \\ x=5.047 \\ x\approx5m \end{gathered}`

Answer:

5m