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 answer:

x =  11.5193 m

Step-by-step explanation:

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° 180π )/sin(B° 180π )=13 sin(48° 1803.1415926 )/sin(57° 1803.1415926 )=11.519=11.5193 m

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