The height of the pole is 8 m, using the Pythagoras Theorem.
According to the Pythagoras Theorem, in a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse, that is,
a² + b² = c²,
where a and b are the two legs, and c is the hypotenuse.
In the question, we are given that an electricity pole is supported by a cable of the length of 10 m.
We are asked to find the height of the pole if the lower end of the cable is fixed at a distance of 6 m away from the foot of the pole.
From the given conditions, we can form a right triangle ABC, as shown.
In the right triangle ABC, by the Pythagoras Theorem, we can say that:
AB² + BC² = AC²,
or, AB² + 6² = 10²,
or, AB² = 10² - 6²,
or, AB² = 100 - 36,
or, AB² = 64,
or, AB = √64,.
or, AB = 8 m.
Thus, the height of the pole is 8 m, using the Pythagoras Theorem.
Learn more about the Pythagoras Theorem at
https://brainly.com/question/231802
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