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Trigonometry

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Moderate

Law of Sines: Airline Redirected by Thunderstorm

TRIG-MMBIID

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 Albert.io. Copyright 2016. All rights reserved

A

$18.2\text{ km}$

B

$88.2\text{ km}$

C

$41.6\text{ km}$

D

$46.6\text{ km}$