Powerplant chimney

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

Correct answer:

x =  313.2801 m

Step-by-step explanation:

h1=7.5 m α=76+30/60=2153=76.5  β=5+50/60=6355.8333   tan β = h1 : v  v=h1/tanβ=h1/tan5.8333333333333° =7.5/tan5.8333333333333° =7.5/0.102164=73.4113 m  tan α = h2 : v  h2=v tanα=v tan76.5° =73.4113 tan76.5° =73.4113 4.1653=305.78007 m x=h1+h2=7.5+305.7801=313.2801 m

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