Find the height of a triangle with area 85 1/3 ft squared and base 10 2/3 feet squared

Lets convert the fractions first:

85 1/3 = 255/3 + 1/3 = 256/3

10 2/3 = 30/3 + 2/3 = 32/3

now, the equation to find the area of a triangle is:

area = height*base/2

so the height is:

height = 2*area/base

then we substitute:

height = 2 * (256/3) / (32/3)

= (2*256/3) / (32/3)

= (512/3) / (32/3)

now, dividing by a fraction is the same as multiplying by that fraction upside down:

= (512/3) (3/32)

= (512*3) / (3*32)

= 1536/96

= 16

therefore the height of the triangle is 16 ft