Question #165631

A bus leaves the terminal 208 degrees traveling 65 km turned W at 80 km then 60 degrees for 100 km. How far is the bus from the terminal and in what direction?


Expert's answer

x component of distance = 65cos28ο+80+100sin60ο65cos28^{\omicron}+80+100sin60^{\omicron}

= 224km224 km

y component of distance = 65sin28ο+100cos60ο-65sin28^{\omicron}+100cos60^{\omicron}

= 19.48km19.48 km

Resultant = (224)2+(19.48)2\sqrt{(224)^2+(19.48)^2}

= 224.84km224.84 km

Direction: North-West

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