Chimney

Lower circumference of of the chimney is 12.57 m, top circumference is 5.655 m. The slope of the walls is 87°. Determine the height of the chimney.

Correct result:

x =  20.9999 m

Solution:

o=2πr r1=12.57/(2π)=2.001 m r2=5.655/(2π)=0.9 m  tan⁡87∘=xr1−r2  x=(r1−r2)tan⁡87∘=(2.001−0.9)tan⁡87∘=20.9999 m 

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