Test Objectives
• Demonstrate the ability to find the angle between two polar points
• Demonstrate the ability to find the distance between two polar points
Distance Between Polar Points Practice Test:

#1:

Instructions: Find the distance between the polar points.

$$a)\hspace{.1em}(-4, -75°), (-2, 75°)$$

$$b)\hspace{.1em}(-1, 135°), (3, 255°)$$

#2:

Instructions: Find the distance between the polar points.

$$a)\hspace{.1em}(-1, -255°), (-2, 255°)$$

$$b)\hspace{.1em}(-1, -90°), (4, 240°)$$

#3:

Instructions: Find the distance between the polar points.

$$a)\hspace{.1em}(1, 330°), (-3, 105°)$$

$$b)\hspace{.1em}(-2, 345°), (3, 135°)$$

#4:

Instructions: Find the distance between the polar points.

$$a)\hspace{.1em}(-4, 240°), (2, 210°)$$

$$b)\hspace{.1em}(1, -210°), (-4, 15°)$$

#5:

Instructions: Find the distance between the polar points.

$$a)\hspace{.1em}(-2, 165°), (-3, 15°)$$

$$b)\hspace{.1em}(-3, 330°), (-2, 270°)$$

Written Solutions:

#1:

Solutions:

$$a)\hspace{.1em}2\sqrt{5 + 2\sqrt{3}}≈ 5.819$$

$$b)\hspace{.1em}\sqrt{7}≈ 2.646$$

#2:

Solutions:

$$a)\hspace{.1em}\sqrt{5 + 2\sqrt{3}}≈ 2.909$$

$$b)\hspace{.1em}\sqrt{17 + 4\sqrt{3}}≈ 4.892$$

#3:

Solutions:

$$a)\hspace{.1em}\sqrt{10 - 3\sqrt{2}}≈ 2.399$$

$$b)\hspace{.1em}\sqrt{13 - 6\sqrt{3}}≈ 1.615$$

#4:

Solutions:

$$a)\hspace{.1em}2\sqrt{5 + 2\sqrt{3}}≈ 5.819$$

$$b)\hspace{.1em}\sqrt{17 - 4\sqrt{2}}≈ 3.368$$

#5:

Solutions:

$$a)\hspace{.1em}\sqrt{13 + 6\sqrt{3}}≈ 4.837$$

$$b)\hspace{.1em}\sqrt{7}≈ 2.646$$