Jack's school is 30 miles to the east from his home. the city hospital is 30 miles to the north from his school how far is jack's home from the city hospital? round your answer to the nearest tenth.

To determine the distance between Jack's home from the city hospital, we need to make use of the Pythagorean theorem which states that the square of the hypotenuse is equal to the sum of the squares of the sides. 

    c² = a² + b²

a and b here are the measures of the legs which are equal to 30 miles. 

Substituting the known values,

    c² = (30 miles)² + (30 miles)²

The value of c from the equation is 42.43 miles.

42.43 miles