On one straight line, at equal distance from each other, there are three telegraph poles.
| April 9, 2021 | education
On one straight line, at equal distance from each other, there are three telegraph poles. The outer ones are located from the road at distances of 1m and 2m. Find the distance from the road where the middle post is.
The distance from pillars A, B and C is perpendiculars AA1, BB1, CC1 to the road.
The figure formed as a result of construction is a rectangular trapezoid АА1С1С with bases АА1 and CC1.
By condition, AB = BC, then the segment BB1 is the middle line of the trapezoid.
BB1 = (AA1 + CC1) / 2.
BB1 = (1 + 2) / 2.
BB1 = 3/2 = 1.5 m.
Answer: The middle post is at a distance of 1.5 meters from the road.
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