Mast

A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon.

Final Answer:

v =  16.44 m

Step-by-step explanation:

l=16 m α=9.7  β=40.8   sin α = lh h=l sinα=l sin9.7° =16 sin9.7° =16 0.168489=2.69583 m  x=l cosα=l cos9.7° =16 cos9.7° =16 0.985703=15.77126 m  γ=α+β=9.7+40.8=2101=50.5  tan γ = xh+v v=x tanγh=x tan50.5° h=15.7713 tan50.5° 2.6958=15.7713 1.2130972.6958=16.44=16.44 m



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You need to know the following knowledge to solve this word math problem:

planimetricsbasic operations and conceptsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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