SOLUTION: At 3 pm,a 10-foot pole casts a shadow of 8 feet on a horizontal ground.How long must be a rope be,in order to connect the top of the pole and the tip of the shadow a the time of ob

Question 750076: At 3 pm,a 10-foot pole casts a shadow of 8 feet on a horizontal ground.How long must be a rope be,in order to connect the top of the pole and the tip of the shadow a the time of observation?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Pythagoras.
The pole and the shadow are two sides of
a right angled triangle. The rope makes
the hypotenuse.
Therefore:
(Length of pole)^2 + (length of shadow)^2
= (Length of rope )^2
(10)^2 + (8)^2 = (Length of rope)^2
(Length of rope)^2 = 164
Length of rope = square root of 164
Length of rope = 12.8feet
:-)
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