A wire is pulled from a 12-meter-high post to the house, which is attached at a height of 3 meters from the ground

bystudin | May 31, 2020 | Education

A wire is pulled from a 12-meter-high post to the house, which is attached at a height of 3 meters from the ground. The distance from the post to the post is 12 meters. Calculate the length of the wire

Let’s sketch the figure. Draw a segment CE parallel to AD. AECD is a rectangle, because all angles are straight. Therefore, CE = AD.
By Pythagorean Theorem BC ^ 2 = CE62 + EB62
BC ^ 2 = 12 ^ 2 + (12-3) ^ 2
BC ^ 2 = 144 + 81
BC ^ 2 = 225
BC = 15.
Answer: wire length 15 meters

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