Ditch

Ditch profile is an isosceles trapezoid with bases of length 80m and 60m. The slope of the side wall of the ditch is 80°. Calculate the ditch depth.

Correct answer:

h =  56.7128 m

Step-by-step explanation:

$$\begin{gathered} a=80\text{ m } \\ c=60\text{ m } \\ x=(a-c)\mathrm{/}2=(80-60)\mathrm{/}2=10\text{ m } \\ \tan 80^{\circ }=h\mathrm{/}x \\ h=x\cdot \tan 80^{\circ }=\tan 4\pi \mathrm{/}9=56.713=56.7128\text{ m} \end{gathered}$$

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