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 result:

C =  35.9807 °
A =  54.0193 °

Solution:

a=28 cm b=45 cm c=73 cm  u1=a2+b2=282+452=53 cm  tanC=u1:c  C=180πarctan(u1/c)=180πarctan(53/73)=35.9807=355850"
A+C=90  A=90C=9035.9807=54.0193=54110"



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