The equation D=1.2(SQRT)H gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.

Question

The equation  D=1.2(SQRT)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)? Explain your answer.

drwls · Answer

A. If D = 1.2 sqrtH, then
D^2 = 1.44 H

Solve that equation for H by dividing both sides by 1.44.

B. Plug in 14255 for H. Take the square root and multiply by 1.2. You should be able to perform those calculations. Compare the horizon distance you get to 89 miles.