Space diagonal angles

Calculate the angle between the body diagonal and the side edge c of the block with dimensions: a = 28cm, b = 45cm, and c = 73cm. Then, find the angle between the body diagonal and the plane of the base ABCD.

Correct answer:

C =  35.9807 °
A =  54.0193 °

Step-by-step explanation:

a=28 cm b=45 cm c=73 cm  u1=a2+b2=282+452=53 cm  tan C = u1 : c  C=π180°arctan(u1/c)=π180°arctan(53/73)=35.9807=35°5850"
A+C = 90°  A=90C=9035.9807=54.0193=54°110"

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