One end of a cable is attached to the top of a 60-foot pole. The other end is attached to the ground at a distance of 25 feet from the base at the poll. How long is the cable in feet? 25 60 65 85
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65One end of a cable is attached to the top of a 60-foot pole. The other end is attached to the ground at a distance of 25 feet from the base at the poll. How long is the cable in feet?
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The cable is 65 feet long.
Given:
Height of the pole=60 feet
Distance of pole to the end of cable=25 feet
To find:
Length of the cable
Solution:
We can find the length by following a few simple steps-
We know that the pole, the ground, and then the cable form a right-angled triangle.
So, using the Pythagoras theorem,
Height of the cable²+ distance from the foot of the pole to cable's end²= length of cable²
60²+25²= Length of cable²
=3600+625
=4225
Length of the cable=√4225
=65 feet
Therefore, the length of the cable is 65 feet.
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