Question

Find x and y please

Answer 1

see below

Explanation:

this is a 45 90 45-45-90 right triangle. the side is x and the hypotenuse is x*(sqrt(2)). the hypotenuse is 6, so the side is 3(sqrt(2)).

Answer 2

Answer:

• x → 4.24
• y → 4.24

Explanation:

» x and y can only be got through using trigonometric ratios:

✍ For x :

`{ \tt{ \sin( \theta) = (opposite)/(hypotenuse) }} \\ \\ { \tt{ \sin(45 \degree) = (x)/(6) }} \\ \\ { \tt{x = 6 * \sin(45 \degree) }} \\ { \tt{x = 4.24}}`

✍ For y :

`{ \tt{ \cos( \theta) = (adjacent)/(hypotenuse) }} \\ \\ { \tt{ \cos( 45 \degree) = (y)/(6) }} \\ \\ { \tt{y = 6 * \cos(45 \degree) }} \\ { \tt{y = 4.24}}`