Latest TCS Aptitude Question SOLUTION: A 70 foot pole stands vertically in a horizontal plane supported by three 490 foot wires, all attached to the top of the pole. Pulled and anchored to three equally spaced points in

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A 70 foot pole stands vertically in a horizontal plane supported by three 490 foot wires, all attached to the top of the pole. Pulled and anchored to three equally spaced points in the plane. How many feet apart are any two of those anchor points?

Asked In TCS edwin (5 years ago)

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sandeep jatkala  (5 years ago)

Find the radius formed by the distance between the pole and the wire:

The radius, the pole and the wire formed a right angle triangle

a² + b² = c²

70² + radius² = 490²

4900 + radius² = 240100

radius² = 240100 - 4900

radius² = 235200

radius = 484.97 ft

Find the circumference formed by the anchor points:

Circumference = 2πr

Circumference = 2π(484.97) = 3048.41 ft

Find the distance between two anchors:

Distance between 2 anchors = 3048.41 ÷ 3 = 1016.14 ft

Answer: The distance between two anchors is 1016.14 ft

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vishal  (5 years ago)

answer is 149.61.....

Is this solution Helpfull? Yes (3) | No (9)  

Nawazbegum  (5 years ago)

the anchor points of wire are equally spaced around a circle of radius r,
r=sq.rt(490^2-70^2)=280 sq.rt(3) ft
line between two anchor points is a chord that subtends a central angle of
teta=(2*pi)/3
chord length=2r*sin(teta/2)=840 ft

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