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   tanβ=h1:v  v=h1/tanβ°=h1/tan5.8333333333333° =7.5/tan5.8333333333333° =7.5/0.102164=73.4113 m  tanα=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

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
Check out our ratio calculator.
See also our right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: