Question #330de

1 Answer
Sep 29, 2017

16.42m

Explanation:

enter image source here

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