Question

tangle
(2)
A pole is broken such that the top of the pole touches the ground. If the length of the pole is 361 feet and the
pole is broken at a height of 156 feet from the ground, find the distance from the base of the pole to the point
where its top touches the ground.​

Answer 1

Given :- A pole is broken such that the top of the pole touches the ground. If the length of the pole is 361 feet and the pole is broken at a height of 156 feet from the ground .

To Find :- The distance from the base of the pole to the point where its top touches the ground ?

Answer :-

we have,

→ Total length of pole = 361 feet .

and,

→ Pole broke at a height of = 156 feet from the ground = Perpendicular Height .

so,

→ Height of pole left = 361 - 156 = 205 feet = Hypotenuse .

since the pole remaining height and top of pole will make right angled ∆.

using pythagoras theorem, we get,

→ Base = √[(Hypotenuse)² - (Perpendicular)²]

→ Base = √[(205)² - (156)²]

→ Base = √(42025 - 24336)

→ Base = √(17689)

→ Base = 133 feet (Ans.)

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