SOLUTION: 2. The equation D=1.2square root 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’

Algebra ->  Radicals -> SOLUTION: 2. The equation D=1.2square root 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’      Log On


   

Question 545264: 2. The equation D=1.2square root 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 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.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
a) D+=+1.2sqrt%28h%29 Solve for h. Divide both sides by 1.2
D%2F1.2+=+sqrt%28h%29 Now square both sides.
%28D%2F1.2%29%5E2+=+h or
h+=+D%5E2%2F1.44
b) D+=+1.2sqrt%28h%29 Substitute h = 14,255
D+=+1.2sqrt%2814255%29
D+=+1.2%28119.3943%29
D+=+143.273miles Approx.
I'll leave the explanation toyou.