+0  
 
0
158
1
avatar

The highest peak of Mount Mitchell is 6,684 feet. If the radius of the Earth is 4000 miles, find the distance from this peak to a point on the horizon. Draw a diagram and round to the nearest mile. (1 mile = 5280 ft.)

 Apr 28, 2021
 #1
avatar+121048 
+1

4000 miles x  5280   =  21120000 ft

 

We have a right  triangle  with  one leg  =  21120000 ft   and  a hypotenuse  of  21120000 +  6684   = 21126684 ft

 

And  the other leg is  the  distance from the montain top to the horizon  = 

 

sqrt  [ 21126684^2  - 21120000^2 )   =  531391.4 ft  =  [531391    / 5280  ]  ≈  101 miles  

 

 

cool cool cool 

 Apr 28, 2021

57 Online Users

avatar