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You are an airline pilot and as you approach a thunder storm you find it necessary to detour around the storm. You turn at an angle of ${ 40 }^{ o }$ fly for a while and then turn and intercept your original flight path at an angle of ${ 35 }^{ o }$ , at a distance of $70\text{ km}$ from where you left it (see image).

How many extra kilometers, to the nearest tenth of a Km, did you travel because of the detour?

James Gunnin Created for Copyright 2016. All rights reserved


$18.2\text{ km}$


$88.2\text{ km}$


$41.6\text{ km}$


$46.6\text{ km}$

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