abcdefgh is a a cuboid.Ab=4cm,Bc=3cm, and AG= 12 cm.Calculate the angle that AG makes with the base ABCD
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19 cm answer
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Given : abcdefgh is a a cuboid. Ab = 4cm, Bc = 3cm
To Find : Calculate the angle that AG makes with the base ABCD
Solution:
AB = 4 cm
BC = 4 cm
AC² = AB² + BC²
=> AC² = 4² + 3²
=> AC² = 16 + 9
=> AC² = 25
=> AC = 5 cm
AG = 12 cm
angle that AG makes with the base ABCD = α
Cos α = AC/AG
=> Cos α = 5/12
=> α = 65.38°
angle that AG makes with the base ABCD = 65.38°
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