SOLUTION: Imagine that you are a pirate on watch in a crow's nest so that your eyes are 40 feet above the water. Determine the farthest distance from which you could spot the top of a 50 foo

Algebra ->  Pythagorean-theorem -> SOLUTION: Imagine that you are a pirate on watch in a crow's nest so that your eyes are 40 feet above the water. Determine the farthest distance from which you could spot the top of a 50 foo      Log On


   

Question 696349: Imagine that you are a pirate on watch in a crow's nest so that your eyes are 40 feet above the water. Determine the farthest distance from which you could spot the top of a 50 foot tree on a sea-level island.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Imagine that you are a pirate on watch in a crow's nest so that your eyes are 40 feet above the water.
Determine the farthest distance from which you could spot the top of a 50 foot tree on a sea-level island.
:
Use the distance (in miles) to horizon formula: d = sqrt%28%283h%29%2F2%29; (h in ft)
Add the height of the crows nest and tree: 90 ft
d = sqrt%28%283%2A90%29%2F2%29
d = 11.6 miles