Question #330de

1 Answer
Pankaj Solanki
Sep 29, 2017

#16.42m#

Explanation:

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Player runs #11 m# in direction of #N 20^o E#
Hence its Vertical component of Displacement #=11 cos20^o#
And its Horizontal component of Displacement #=11 sin20^o#

Total displacement Towards North #=d_N=11cos20^@#
Total displacement Towards East #=d_E=11sin20^@+9#

Total displacement #d=sqrt(d_N^2+d_E^2#
#=>d=sqrt((11cos20^@)^2+(11sin20^@+9)^2)#
#=>d=sqrt((121cos^2 20^@)+121sin^2 20^@+(2)(9)(11) sin20^@+81#
Using Identity #cos^2theta+sin^2theta=1#
#=>d=sqrt(121(cos^2 20^@+121sin^2 20^@)+(2)(9)(11) sin20^@+81#
#=>d=sqrt(121+198 sin20^@+81#
#=>d=sqrt(202+198(0.342)#
#=>d=sqrt(269.716)=16.42 m#

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