Big tower

From the tower, which is 15 m high, and 30 m from the river, the river's width 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  tanβ=x:h β=arctan(x/h)=arctan(30/15)1.1071 rad γ=α+β=0.2618+1.10711.3689 rad  tanγ=(x+w):h w=h tanγx=15 tan1.368930=25 3=43.3 m



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







Tips for related online calculators
See also our right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

You need to know the following knowledge to solve this word math problem:


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

Related math problems and questions: