Asolid oblique pyramid has a regular pentagonal base. the base has a edge length of 2.16 ft and and area of 8 ft^2. angle abc measures 30 degrees. what is the volume of the pyramid, to the nearest cubic foot?

Volume of the pyramid:

V = 1/3 · B · h

B = 8 ft²

tan 30° = height / 7√3

1/√3 = height / 7√3

height = 7 ft

V =  1/3 · 8 · 7 = 18.67 ft³ ≈ 19 ft³

Answer : D ) 19 ft³

∞ this is your sign

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐