What is the distance between the following polar coordinates?: ( 5 , 17 π 12...

gaiaecologicaq2

gaiaecologicaq2

Answered

2022-07-09

What is the distance between the following polar coordinates?:
( 5 , 17 π 12 ) , ( 9 , 11 π 8 )

Answer & Explanation

Perman7z

Perman7z

Expert

2022-07-10Added 13 answers

Step 1
Polar coordinates of point A is:
r 1 = 5 and θ 1 = 17 π 12
Polar coordinates of point B is:
r 2 = 9 and θ 2 = 11 π 8
Distance between points A and B can be found using:
D = r 1 2 + r 2 2 - 2 r 1 r 2 cos ( θ 1 - θ 2 )
D = 5 2 + 9 2 - 2 5 9 cos ( ( 17 π 12 ) - ( 11 π 8 ) )
D 4.095 units

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