Mast shadow

Mast has 13 m long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 15°. Determine the height of the mast, if the sun above the horizon is at angle 33°. Use the law of sines.

Correct result:

x =  11.5193 m

Solution:

s=13 m A=9015=75 B=9033=57 C=180AB=1807557=48  sinC:sinB=x:s  x=s sin(C rad)/sin(B rad)=s sin(C π180 )/sin(B π180 )=13 sin(48 3.1415926180 )/sin(57 3.1415926180 )=11.519=11.5193 m

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