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a man moves in an open field such that after moving 10 m on a straight line he makes a sharp turn of 60 degree to his left .the total displacement after 8 such turns is equal to
try drawing a fig. for the problem.
so,after 6 turns the person reaches the same spot from which he had started aftet travelling along a reg. hexagon of side 10m and angle 150°.
then he again covers 10m and takes a turn and covers 10m.so we get an iso. triangle with 2 sides of 10m and the angle between them = 150° (60+90).
now solve using trigo.
1/2disp.÷10=sin75°
so disp.= 20sin75°
=20(√3+1/2√2)
=19.4m approx
10*8=80
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