Question

8 mi, 16 mi, x, a 22.6 miles, b 27.7 miles, c 13.9 miles, d 11.3 miles

Explanation:

Step1: Apply Pythagorean theorem

$a^2 + b^2 = c^2$ where $a=8$, $c=16$, solve for $b=x$
$x^2 + 8^2 = 16^2$

Step2: Calculate squares

$x^2 + 64 = 256$

Step3: Isolate $x^2$

$x^2 = 256 - 64 = 192$

Step4: Compute square root

$x = \sqrt{192} \approx 13.9$

Answer:

C. 13.9 miles