Question

Bong walks 100 m due North and then 150 m in a direction N 37 deg. E. How far is Bong from his original position?

Answer 1

`color(purple)("Bong is " 181.38 m " away from the original position"`

Explanation:

Applying Law of Cosines,

`c^2 = a^2 + b^2 - 2 * a * b * cos C`

`" Given : " b = 100 m, a= 150 m, hat C = 180-37 = 143^@`

`c = sqrt((100^2 + 150^2 - (2 * 100 * 150 * cos 143))`

`c = sqrt(10000 + 22500 - 500 cos 143)`

`color(purple)(c = 181.38 m`