The base and height of a parallelogram are in the ratio of 6:5. It's area is 480 inches squared. Find the height of the parallelogram. The area of a parallelogram is a=bh

The height of the parallelogram is 20m

Step-by-step explanation:

Given the area of a parallelogram

A = bh where;

b is the base and h is the height

If the base and height of a parallelogram are in the ratio of 6:5. It's area is 480 inches, this means that b/h = 6/5

5b = 6h

b = 6h/5

Substituting equation 1 into the volume if the parallelogram we have;

A = 6h/5×h

480 = 6h²/5

6h² = 480×5

6h² = 2400

h² = 2400/6

h² = 400

h = √400

h = 20m

< 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⭐