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 angle 45°12'.

Correct result:

v =  17.65 m

Solution:

l=13 m A=13.3 B=45.2  sin(A)=hl 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)=h+vx v=x tan((A+B) rad)h=x tan((A+B) π180 )h=12.6513253461 tan((13.3+45.2) 3.1415926180 )2.99064658345=17.65=17.65 m



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