SOLUTION: Driving through the mountains, Dale has to go up and over a high mountain pass. The road has a constant incline for 7.75 miles to the top of the pass. Dale notices from a road sign

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Question 557298: Driving through the mountains, Dale has to go up and over a high mountain pass. The road has a constant incline for 7.75 miles to the top of the pass. Dale notices from a road sign that in the first mile he climbs 840 feet. What is the height of the mountain pass?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Driving through the mountains, Dale has to go up and over a high mountain pass. The road has a constant incline for 7.75 miles to the top of the pass. Dale notices from a road sign that in the first mile he climbs 840 feet. What is the height of the mountain pass?
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Draw the picture.
You have a triangle with
hypotenuse = 7.75 miles
He climbs 840/5280 miles for each mile he drives.
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Ans: height = 7.75(840/5280) = 1.23 miles = 6510 ft
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Cheers,
Stan H.