Diagonals of a prism

The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal with the diagonal of the base.

Correct answer:

A =  63.4349 °

Step-by-step explanation:

a=3 dm b=4 dm c=1 m dm=1 10  dm=10 dm  d1=a2+b2=32+42=5 dm  tanA=c/d1 α=arctan(c/d1)=arctan(10/5)1.1071 rad A=α  °=α π180   °=1.1071 π180   °=63.435  °=63.4349=63°266"

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