# The upper ends of two vertically standing pillars, at a distance of 3.4 m, are connected by a crossbar.

July 29, 2021 | education

| **The upper ends of two vertically standing pillars, at a distance of 3.4 m, are connected by a crossbar. The height of one pillar is 5.8 m, and the other 3.9, find the length of the crossbar**

Distance between posts, 3.4 m; the difference in the heights of the pillars (5.8 m and 3.9 m), and the crossbar itself, n, represent a right-angled triangle, we will paint its sides.

Leg 1 – distance 3.4 m, leg 2 – difference (5.8 – 3.9) m; the size of the crossbar is the hypotenuse, which can be found by the theorem:

n ^ 2 = 3.4 ^ 2 + (5.8 – 3.9) ^ 2 = 3.4 ^ 2 + 1.9 ^ 2 = 11.56 + 1.61 = 15.17 (m ^ 2) , whence the size of the crossbar:

n = √ (15.17) = 3.89 (m).

Answer: 3.89 m.

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