Diagonal

Determine the dimensions of a cuboid whose space diagonal is 60 dm and makes an angle of 35° with one edge and 77° with another edge.

Final Answer:

a =  49.1491 dm
b =  13.4971 dm
c =  31.6574 dm

Step-by-step explanation:

u=60 dm A=35 ∘ B=77 ∘  a=u⋅ cosA=u⋅ cos35° =60⋅ cos35° =60⋅ 0.819152=49.149=49.1491 dm
b=u⋅ cosB=u⋅ cos77° =60⋅ cos77° =60⋅ 0.224951=13.497=13.4971 dm
u2​=a2+b2​=49.14912+13.49712​≐50.9687 dm c=u2−u22​​=602−50.96872​=31.6574 dm

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solid geometryplanimetricsgoniometry and trigonometryUnits of physical quantitiesGrade of the word problem

 
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