+0  
 
0
74
1
avatar

A vertical pole AB measuring 5 meters snaps at point C. The pole remains in contact at C and the top of the pole touches the ground at point T, a distance of 3 meters from A.
Find the length AC, in meters, the point where the pole snapped.

 

 Jun 28, 2020
 #1
avatar+26735 
+1

The broken pole forms a RIGHT triangle with the ground

the slanted portion we will cal 'h'    (as in 'hypotenuse' )

the vertical portion is   5 - h

and the other leg of the triangle (the ground ) = 3

 

(5-h)^2 + 3^2 = h^2

h^2 -10h+25+9 = h^2

-10h = -34

h = 3.4                      the pole broke 3.4 meters from the top .... AC is thus: 5-3.4 = 1.6 meters

 Jun 28, 2020

46 Online Users

avatar
avatar
avatar