Question 175540: Here is another application I am struggling with. I submitted it earlier but my computer shut down and I am unsure if it went through or not. Here it is again.
2. The equation [D=1.2 square root of h] gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
b. Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)?
Found 3 solutions by stanbon, nycsub_teacher, Alan3354:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 2. The equation [D=1.2 square root of h] gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
D = 1.2sqrt(h)
sqrt(h) = D/1.2
h = [D/1.2]^2
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b. Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak?
D = 1.2sqrt(14255) = 143.27 miles
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Can you see Cheyenne, Wyoming (about 89 miles away)?
According to the formula, Yes.
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Cheers,
Stan H.
Answer by nycsub_teacher(90) (Show Source):
You can put this solution on YOUR website! The equation D = 1.2 square root of h gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a.Solve this equation for h.
We can write the equation like this:
D = 1.2(sqrt{h})
Divide both sides by 1.2 to isolate the radical.
D/1.2 = sqrt{h}
We now square both sides to remove the radical.
(D/1.2) = [sqrt{h}]^2
(D^2)/(1.44) = h
b.Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)?
For part b, let h = 14,255 and solve for D.
Then compare the distance you find with 89 miles away.
Keep in mind that 1 mile = 5280 feet.
Here is what you need to solve:
D = 1.2(sqrt{14,255})
Can you take it from here?
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! 2. The equation [D=1.2 square root of h] gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
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b. Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak?
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Can you see Cheyenne, Wyoming (about 89 miles away)?
Cheyenne is less than 143 miles, so yes, but whether you can see it or not depends on atmospheric conditions (weather, haze, etc.).
Actually, it's below the horizon. This formula gives the distance to the horizon.
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