Diagonal

Determine the dimensions of the cuboid, if diagonal long 60 dm has an angle with one edge 35° and with another edge 77°.

Correct 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+13.4971250.9687 dm c=u2u22=60250.96872=31.6574 dm



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