Question

How do i do this?????

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

Let's solve for x and y ~

Since the given triangle is a right angled triangle, we can use Trigonometric ratios here to get the required values

`\qquad \sf  \dashrightarrow \: \tan(45 \degree) = (y)/(2 √(2) )`

`\qquad \sf  \dashrightarrow \: 1= (y)/(2 √(2) )`

`\qquad \sf  \dashrightarrow \:y = 2 √(2) \: \: units`

Now, let's get to x ~

`\qquad \sf  \dashrightarrow \: \sin(45 \degree) = (y)/(x)`

`\qquad \sf  \dashrightarrow \: (1)/( √(2) ) = (2 √(2) )/(x)`

`\qquad \sf  \dashrightarrow \:x = 2 √(2){} * √(2)`

`\qquad \sf  \dashrightarrow \:x = 2 * 2`

`\qquad \sf  \dashrightarrow \:x = 4 \: \: units`

I hope you understood the whole procedure ~