An ant on the ground is 22 feet from the foot of a tree. she looks up at a bird at the top of the tree, and her line of sight makes 30 degrees with the ground. how far is she from the top of the tree? (hint: find x.)

< 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⭐