# Coordinate Systems and Components of a Vector

## Homework Statement

Two points in a plane have polar coordinates P1(2.500m, pie/6) and P2(3.800m, 2pie/3) .

Determine their Cartesian coordinates and the distance between them in the Cartesian coordinate system. Round the distance to a nearest centimeter.

## Homework Equations

Ax=Acosθ
Ay=Asinθ​
dist((x, y), (a, b)) = √(x - a)² + (y - b)²

## The Attempt at a Solution

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I converted the points to cartesian and got (2.165m,1.250m) and (-1.900m ,3.290m)

I'm confused because when I try to find the distance between the points, I use the distance formula and get 4.54meters as my answer. The correct answer should be 5.27m

What am I doing wrong?