Question

Find k. Write your answer in simplest radical form.

Answer 1

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's solve ~

The given triangle is a right angled Triangle, so we can apply Trigonometric relations to find the required result ;

That is :

$\qquad \sf \dashrightarrow \: \sin(45 \degree) = \dfrac{2}{k}$

$\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{2}{k}$

$\qquad \sf \dashrightarrow \: k = 2 \sqrt{2}$

So, the value of k is $2\sqrt{}{2}$ miles