Two points in a plane have polar coordinates (2.40 m, 40.0°) and (3.50 m, 110.0°).

Question

(a) Determine the Cartesian coordinates of these points.
(2.40 m, 40.0°)
x = m
y = m
(3.50 m, 110.0°)
x = m
y = m

(b) Determine the distance between them.
m

Answer 1

a. P1: 2.4*Cos40 + 2.4*sin40 = 1.84 + 1.54i.

P1 = (x1,y1) = (1.84,1.54).
P2 = (x2,y2) = (-1.20,3.29).

b. d^2 = (x2-x1)^2 + (y2-y1)^2.
d^2 = (-1.2-1.84)^2 + (3.29-1.54)^2 = 12.3
d = 3.51 m.

Answer 2

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