SOLUTION: a street sign at the end of Dion's street is 8feet high. At a certain time, it casts a shadow of 6 feet long. Dions tied a rope to the top of the sign and fastened it in the ground

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Question 732119: a street sign at the end of Dion's street is 8feet high. At a certain time, it casts a shadow of 6 feet long. Dions tied a rope to the top of the sign and fastened it in the ground at the end of the shadow, making a triangle with the sign, the rope, and the shadow. what is the length of the rope
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ikleyn(53956) About Me  (Show Source):
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A street sign at the end of Dion's street is 8feet high. At a certain time, it casts a shadow of 6 feet long.
Dion tied a rope to the top of the sign and fastened it in the ground at the end of the shadow, making a triangle
with the sign, the rope, and the shadow. what is the length of the rope
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Apply the Pythagorean theorem and get


    the length of the rope = sqrt%288%5E2+%2B+6%5E2%29 = sqrt%2864%2B36%29 = sqrt%28100%29 = 10 feet.    ANSWER

Solved.