Question

Find the value of each variable ​

Answer 1

Answer:

$x = 15 \sqrt{2}$

$y = 15 \sqrt{2}$

Step-by-step explanation:

here, the given figure is an isosceles right angled triangle, ( cuz both acute angles = 45° )

so, x = y

we know that

$\sin(45) = \frac{1}{ \sqrt{2} }$

so,

$\frac{1}{ \sqrt{2} } = \frac{x}{30}$

=

$x = \frac{30}{ \sqrt{2} }$

=

$x = 15 \sqrt{2}$

now, x = y

hence,

$y = 15 \sqrt{2}$