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**1. The problem statement, all variables and given/known data**

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.

**2. Relevant equations**

Ax=Acosθ

Ay=Asinθ

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

**3. The attempt at a solution**

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?

Thanks in advance