Aflagpole broke in a storm. it was originally 81 feet tall. 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?

Hidden right triangle
28 feet tall (1 leg)
the piece that fell over is the hypotonuse
last leg is what we need to find

81-28=53

a²+b²=c²
a and b are legs and c is the hypotonuse

given
on leg is 28 and the hypotonuse is 53
th othe leg is b
28²+b²=53²
784+b²=2809
minus 784 from both sides
b²=2025
sqrt both sides
b=45

answer is 45ft

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