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How long is a string reaching from the top of a 13-ft pole to a point on the ground that is 7ft from the base of the pole ?

Verified Answer :

bcalle

The string would represent the hypotenuse of a right triangle.
7^2 + 13^2 = c^2
49 + 169 = c^2
218 = c^2
sqrt 218 = c
14.8 = c

The length of the string reaching from the top of the pole to the base of the pole will be 14.8 feet.

Based on the information given, we are going to find the diagonal by using the hypotenuse and this will be:

c² = 7² + 13²

c² = 49 + 169.

c² = 218

c = ✓218

c = 14.8

Therefore, the length is 14.8 ft.

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