Respuesta :

Answer:

15.3 miles.

Step-by-step explanation:

Area of trapezoid is given by = 1/2*( sum of parallel side) height

Given area of trapezoid = 221.85 sq. miles

Length of parallel sides = 19 miles and 10 miles.

Sum of parallel sides = 19 miles + 10 miles = 29 miles.

Plugging the above values in formula for area of trapezoid we have

Area of trapezoid is given by = 1/2*( sum of parallel sides) height

221.85 = 1/2 (29) height

=> 221.85* 2 = 29* height

=> 443.7 = 29* height

=> 443.7/29 =  height

=> height = 15.3

Thus, height is 15.3 miles.

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