What is the distance between the two polar coordinates (2.0,30°)and (9.0,145°)?
A)6.0
B)10.0
C)9.8
D)9.2

Question

​What is the distance between the two polar coordinates (2.0,30°)and (9.0,145°)?
A)​6.0
B)​10.0
C)​9.8
D)​9.2

Quizplus · Accepted Answer

The distance between two polar coordinates $(r_1, \theta_1)$ and $(r_2, \theta_2)$ can be found using the formula: $$d = \sqrt{r_1^2 + r_2^2 - 2r_1r_2\cos(\theta_1 - \theta_2)}$$. Plugging in the given values, we get: $$d = \sqrt{2^2 + 9^2 - 2*2*9*\cos(145° - 30°)}$$, which simplifies to approximately 10.0.

​What Is the Distance Between the Two Polar Coordinates (2

What Is the Distance Between the Two Polar Coordinates (2