Question

Two points are given in polar coordinates by : (r, θ) = (2.60 m, 50.0°)

Answer 1

Answer:

The distance between the 2 points is 4.6558 meters.

Explanation:

The distance between 2 points $(r_1,\theta _1),(r_2,\theta _2)$ is given by

$d=\sqrt{r_{1}^{2}+r_{2}^{2}-2r_1\cdot r_2cos(\theta _2-\theta _1)}$

In our case the given 2 points are $(2.60,50.0^{o}),(3.60,-46.0^{o})$ hence the distance is

$d=\sqrt{2.60^{2}+3.60^{2}-2\cdot 2.60\cdot 3.60\cdot cos(-46.0-50)}\\\\\therefore d=4.6558m$