The ditch

Ditch with a cross-section of an isosceles trapezoid with bases 2m and 6m are deep 1.5m. How long is the slope of the ditch?

Correct answer:

s =  2.5 m

Step-by-step explanation:

$$\begin{gathered} a=6\text{ m } \\ c=2\text{ m } \\ h=1.5\text{ m } \\ x={\displaystyle \frac{a-c}{2}}={\displaystyle \frac{6-2}{2}}=2\text{ m } \\ {s}^2=h^2+x^2 \\ s=\sqrt{h^2+x^2}=\sqrt{1.5^2+2^2}={\displaystyle \frac{5}{2}}\text{ m}=2.5\text{ m} \end{gathered}$$

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