The longest river in the uk is the river severn which has a length of 24 cm on a map. if the map is drawn at a scale of 1: 1,500,000, then how many kilometers is the river actually?

360 km

Step-by-step explanation:

we know that

The scale of the map is

1:1,500,000

That means

1 cm on a map > represent 1.500.000 cm in the actual

or

1 cm on a map > represent 15,000 m in the actual

or

1 cm on a map > represent 15 km in the actual

therefore

In this problem

24 cm on a map> represent 24*15=360 km actually

< 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⭐

a is the right answer