Powerplant chimney

From the window of the building at a height of 7.5 m, the top of the factory chimney can be seen at an altitude angle of 76° 30 ′. The base of the chimney can be seen from the same place at a depth angle of 5° 50 ′. How tall is the chimney?

Correct result:

x =  313.28 m

Solution:

h1=7.5 m α=76+30/60=1532=76.5  β=5+50/60=3565.8333   tanβ=h1:v  v=h1/tanβ=h1/tan5.83333333333 =7.5/tan5.83333333333 =7.5/0.102164=73.4113  tanα=h2:v  h2=v tanα=v tan76.5 =73.4112989888 tan76.5 =73.4112989888 4.1653=305.78007 x=h1+h2=7.5+305.7801=313.28 m



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