Bridge

The bridge arc has a span 34 m and height 3 m. Calculate the radius of the circle arc of this bridge.

Correct result:

r =  49.67 m

Solution:

r2=(34/2)2+(r−3)2 r2=342/4+r2−2⋅3⋅r+32 2⋅3⋅r=342/4+32 r=3428⋅3+32=49.67 m  a=17 b=r−3=46.67 c=r=49.67 m

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