When you look out over an unobstructed landscape or seascape, the distance to the visible horizon depends on your height above the ground. The equation d=3/2h is a good estimate of this, in which d=distance to horizon in miles and h=height of viewer about the ground in feet. It is possible to find different distances to the horizon given different elevations. (a)solve the above equation for the height h, (b)Can you see a object that is 100 miles away from the top of the Empire State Building? (c)Long's Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see the horizon from the top of Long's Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.
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