SOLUTION: From the Pedimaxus International Airport a tour helicopter can fly to Cliffs of Insanity Point by following a bearing of N8.2�E for 194 miles and it can fly to Bigfoot Falls by fol

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Question 960843: From the Pedimaxus International Airport a tour helicopter can fly to Cliffs of Insanity Point by following a bearing of N8.2�E for 194 miles and it can fly to Bigfoot Falls by following a bearing of S68.5�E for 206 miles. Find the distance between Cliffs of Insanity Point and Bigfoot Falls. (Round your answer to the nearest whole number.)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
From the Pedimaxus International Airport a tour helicopter can fly to Cliffs of Insanity Point by following a bearing of N8.2�E for 194 miles and it can fly to Bigfoot Falls by following a bearing of S68.5�E for 206 miles. Find the distance between Cliffs of Insanity Point and Bigfoot Falls. (Round your answer to the nearest whole number.)
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Draw the picture.
The angle between the two paths is 8.2+68.5 = 76.7 degrees
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The distance between Cliffs and Falls is the side opposite that angle.
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Use the Law of Cosines::
d^2 = 194^2 + 206^2 - 2*194*206*cos(76.7 degrees) = 79738.75
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distance = 282 miles when rounded to nearest whole number
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Cheers,
Stan H.
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