Cross-section 23491

The cross-section of the railway embankment is an isosceles trapezoid, the bases of which are in a ratio of 5: 3. The arms have a 5 m embankment height v = 4.8 m. Calculate the section area S.

Correct answer:

S =  26.88 m2

Step-by-step explanation:

r=5 m v=4.8 m a:c=5:3  S=(a+c)v/2  a12=r2v2 a1=r2v2=524.82=57=1.4 m  a=c+2 a1 a/c=5/3  (c+2a1)c=5/3 3c+6a1=5c 6a1=2c  c=3 a1=3 1.4=521=4.2 m  a=c+2 a1=4.2+2 1.4=7 m  S=2a+c v=27+4.2 4.8=25672 m2=26.88 m2

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Check out our ratio calculator.
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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