What is the distance between the following polar coordinates?: <mstyle displaystyle="true">

Oakey1w

Oakey1w

Answered question

2022-06-25

What is the distance between the following polar coordinates?:
( 8 , 7 π 4 ) , ( 5 , 15 π 8 )

Answer & Explanation

Amy Daniels

Amy Daniels

Beginner2022-06-26Added 20 answers

Step 1
The origin and these two points:
( 8 , 7 π 7 ) and ( 5 , 15 π 8 )
Form a triangle with,
side a = 8
side b = 5
and the angle between them is,
C = 15 π 8 - 7 π 4 = π 8
The distance between the two points is the length of side c, in the equation for the Law of Cosines:
c 2 = a 2 + b 2 - 2 ( a ) ( b ) cos ( C )
c 2 = 8 2 + 5 2 - 2 ( 8 ) ( 5 ) cos ( π 8 )
c 3.88

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?