Question

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Answer 1

Answer:

x = 14.14 mi

Step-by-step explanation:

We know this triangle is a right angled triangle due to the symbol shown in the corner, this means that pythagoras theorem can be used:

$a^2 + b^2 = c^2$

However, one of the sides is unknown so we need to change the equation subject to a or b:

$a^2 = c^2 - b^2$

Now we can simply plug the values in:

$a^2 = 15^2 - 5^2$

$a^2 = 225 - 25$

$a^2 = 200$

Now square root both sides to find a:

$\sqrt{a^2} = \sqrt{200}$

$a = \sqrt{200}$

a = 14.14

x = 14.14 mi

Hope this helps!