Big tower

From a tower 15 meters high and 30 meters away from the river, the width of the river appeared at an angle of 15°. How wide is the river in this place?

Correct answer:

w =  43.3 m

Step-by-step explanation:

h=15 m x=30 m α=15° rad=15° 180π =15° 1803.1415926 =0.2618=π/12   tan β = x:h β=arctan(x/h)=arctan(30/15)1.1071 rad γ=α+β=0.2618+1.10711.3689 rad   tan γ = (x+w) : h w=h tanγx=15 tan1.368930=25 3=43.3 m

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