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

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