Mast

Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 13.3°. Determine the height of the mast if the sun above the horizon is at an angle 45°12'.

Correct answer:

v =  17.65 m

Step-by-step explanation:

l=13 m A=13.3  B=45.2   sin(A) = lh h=l sinA=l sin13.3° =13 sin13.3° =13 0.23005=2.99065 m  x=l cosA=l cos13.3° =13 cos13.3° =13 0.973179=12.65133 m  tan(A+B) = xh+v v=x tan((A+B)° rad)h=x tan((A+B)° 180π )h=12.651325346102 tan((13.3+45.2)° 1803.1415926 )2.9906465834454=17.65=17.65 m



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







Tips for related online calculators
The line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Check out our ratio calculator.
Do you want to convert length units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

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: