Question

Two towns A and B are situated on opposite sides of a river whose banks CD and EF are parallel straight lines. At which point should one build a slant bridge MM' across the river, where M is on the line CD, such that ZCMM' = 45° and such that AM + MM' + M'B is the shortest possible path between A and B? Describe how to construct M or M' and explain your answer.

Answer 1

45 45. M. F pil The bauk friver cDaud aud LuMm4Sixed o, M'Min ed Shortest dlist auce betweeu poiut Line joiuiug tle 2poiut is parallel is 90 So, M H hould be placed such that AM II M'B 45' MB: MB' Ju Fig.1 0 DFOA D o.0 A II M'B S0, the shotes olistauce Mt shouter t hed with anner distauce betueeu AB.