The area covered by a city is 20 square miles. The area grows by a factor of 1.1 each year since it was 20
square miles.

Explain why the area, a, covered by the city, in square
miles, is a function of t, the number of years since its
area was 20 square miles.

Write an equation for a in terms of t.

Step-by-step explanation:

< 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

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