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?

Question

5725 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-19T04:16:09

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

![http://www.dummies.com/education/math/trigonometry/laws-of-sines-and-cosines/]( useruploads.socratic.org )

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#