Regular quadrangular pyramid

The height of the regular quadrangular pyramid is 6 cm, and the length of the base is 4 cm. What is the angle between the ABV and BCV planes? ABCD is the base, V is the vertex.

Correct answer:

α =  36.8699 °

Step-by-step explanation:

h=6 cm a=4 cm  s1=a/2=4/2=2 cm s2=s12+h2=22+62=2 10 cm6.3246 cm  tan α/2 = s1 / h  α1=2 arctan(s1/h)=2 arctan(2/6)0.6435 rad  α=α1  °=α1 π180   °=0.6435 π180   °=36.87  °=36.8699=36°5212"



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