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?

1 Answer
Apr 19, 2018

Bong is 181.38m away from the original position

Explanation:

http://www.dummies.com/education/math/trigonometry/laws-of-sines-and-cosines/http://www.dummies.com/education/math/trigonometry/laws-of-sines-and-cosines/

Applying Law of Cosines,

c2=a2+b22abcosC

Given : b=100m,a=150m,ˆC=18037=143

c=(1002+1502(2100150cos143))

c=10000+22500500cos143

c=181.38m