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Introduction To Trigonometry

Question
CBSEENMA10006979

Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.

Solution
Let the given points be A(0, 0) and B(36, 15) then,

AB space space equals space square root of open parentheses 36 minus 0 close parentheses squared plus left parenthesis 15 minus 0 right parenthesis squared end root
space space space space space space equals space space square root of open parentheses 36 close parentheses squared plus left parenthesis 15 right parenthesis squared end root
space space space space space space space equals space square root of 1296 plus 225 end root equals square root of 1521
space space space space space space space space equals space 39
Yes, we can find the distance between the two towns A and B discussed in section 7.2 and this distance = 39 km.