SOLUTION: The higher a lookout tower is built, the farther an observer can see. That distance d (called the horizon distance, measured in miles) is related to the height h of the observer (m
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Question 1168410: The higher a lookout tower is built, the farther an observer can see. That distance d (called the horizon distance, measured in miles) is related to the height h of the observer (measured in feet) by the formula
d = 1.4 radical symbol with h under it
How tall (in ft) must a lookout tower be to see the edge of the forest, 23 miles away? (Round your answer to the nearest foot.)
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
d=1.4 sqrt(h)=23
sqrt(h)=23/1.4=16.43
h=269.90 or 270 feet
(I generally use 1.1 sqrt(h)
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
For the Earth conditions, the correct formula is
d = miles, with h in feet.
See, for example, this source
https://sites.math.washington.edu/~conroy/m120-general/horizon.pdf
https://sites.math.washington.edu/~conroy/m120-general/horizon.pdf
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