Bill and Nadia live across a ravine from each other. Bill walked 180 m to the end of the ravine, turned right through an angle of 45°, and walked another 200 m to Nadia's house. What expression can be used to determine the distance between them?

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Answer 1 · 2018-03-30T12:52:44

Distance between them#146,6m# to the nearest 1 decimal

Use the cosine rule

#:.a^2=b^2+c^2-2*b*c*CosA^@#

#:.a^2=180^2+200^2-2*180*200*Cos45^@#

#:.a^2=32400+40000-50911.68825#

#:.a^2=2148831175#

#sqrt (a^2)=sqrt 21488.31175#

#:.a=sqrt 21488.31175#

#:.a=146.588921#