An excavator is used to dig ditch to lay pipes. The two sections of the arm of the excavator have lengths 3.8 m and 2.7 m. If the operator keeps the longer section fixed at 43° to the ground, and then moves the smaller section to scoop out the earth, what possible length of the ditch will be worked in one swing of the smaller section? Give your answer to the nearest tenth of a metre. Please draw a properly labeled diagram and show all steps for full marks.

Question

An   excavator   is   used   to   dig   ditch   to   lay   pipes.   The   two   sections   of   the   arm   of   the   excavator   have   lengths  3.8  m   and  2.7  m.   If   the   operator   keeps   the   longer   section   fixed  at  43°  to   the   ground,  and   then   moves   the   smaller   section   to  scoop   out   the   earth,  what   possible   length   of   the   ditch   will   be   worked   in   one   swing   of   the   smaller   section?   Give   your  answer   to   the   nearest   tenth   of   a   metre.   Please   draw   a   properly   labeled   diagram   and   show   all   steps   for   full   marks.

supie · Answer

You don't really have to space out all the words like that.

But it says the lengths are 3.8  m   and  2.7  m  and if  If   the   operator   keeps   the   longer   section   fixed  at  43° then is will be getting bigger.

So based on everything in the question not just what I said, what do you think the graph would look like?