Question

How far is football field to the park? *show your work*

Answer 1

10.95 miles

Explanation:

`a = Park\ to\ Home\\\\b = Park\ to\ Football\ Field \\\\t_(h) = Park\ to\ Library\\\\t_(h) = \sqrt{a^(2) - 2^(2) } \\\\t_(h) = \sqrt{b^(2) - 10^(2) } \\\\b = \sqrt{12^(2) - a^(2) } \\\\-----------\\\\a^(2) - 2^(2) = 12^(2) - a^(2) - 10^(2) \\\\2a^(2) = 144 - 100 + 4 = 48 \\\\a = √(24) = 4.9\ miles \\\\-----------\\\\b = √(144 - 24) = √(120) = 10.95\ miles`