DISTANCE BETWEEN TWO POLAR COORDINATES WORKSHEET

Find the distance between two polar coordinates.

Problem 1 :

(2, π/3) and (2, 11π/6)

Solution

Problem 2 :

(4, 7π/12) and (2, π/12)

Solution

Problem 3 :

An air traffic controller's radar display uses polar coordinates. A passing plane is detected at 285° counter-clockwise from north at a distance of 3 miles from the radar. Thirty seconds later the plane is detected at 225° and 2 miles. Estimate the plane's speed in miles per hour.

Solution

Problem 4 :

(2, π/6) and (4, π/3)

Solution

Problem 5 :

(3, 7π/4) and (1, π/4)

Solution

Answer Key

1) 2√2

2) 2√5

3)  317.4 miles

4)  4.383 

5) 3.162

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