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CBSE Class 8 Answered

a pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it the possible to do so? If yes, at what distances from the two gated should the pole be erected?
Asked by susanta.rkl | 18 Aug, 2018, 08:07: PM
answered-by-expert Expert Answer
begin mathsize 16px style According space to space the space question comma
CA equals straight a space and space CB equals straight b
CA minus CB equals 7
straight a minus straight b equals 7
straight a equals straight b plus 7......... left parenthesis straight i right parenthesis
AC squared plus BC squared equals AB squared
straight a squared plus straight b squared equals 13 squared equals 169
open parentheses 7 plus straight b close parentheses squared plus straight b squared equals 169 space space space space space from space left parenthesis straight i right parenthesis
Solving space this space we space get
straight b equals 5 equals CB
Hence comma space straight a equals 12 equals CA end style
Answered by Sneha shidid | 20 Aug, 2018, 11:22: AM
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