Embankment height

The profile of the railway embankment has the shape of an isosceles trapezoid, where a = 16.4 m, c = 10.6 m, and b = d = 5.2 m.
Calculate the embankment height.

Final Answer:

h =  4.3162 m

Step-by-step explanation:

$$\begin{gathered} a=16.4\text{m} \\ c=10.6\text{m} \\ b=5.2\text{m} \\ d=5.2\text{m} \\ {b}^2=h^2+x^2 \\ h=\sqrt{b^2-((a-c)/2{)}^2}=\sqrt{5.2^2-((16.4-10.6)/2{)}^2}=4.3162\text{m} \end{gathered}$$

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