Question

How to solve and the answer

Answer 1

Answer:

x = 10; y = 10

Step-by-step explanation:

$\sin(theta) = \frac{opposite}{hypotenuse}$

$\cos( {theta} ) = \frac{adjacent}{hypotenuse}$

$\tan( {theta} ) = \frac{opposite}{adjacent}$

theta = 45°

opposite = x

hypotenuse = 10√2

adjacent = y

1) find x using sin formula

$\sin(theta) = \frac{opposite}{hypotenuse}$

$\sin(45) = \frac{x}{10 \sqrt{2} }$

$\sin(45) \times 10 \sqrt{2} = x$

$10 = x$

$x = 10$

2) find y using cos formula

$\cos( {theta} ) = \frac{adjacent}{hypotenuse}$

$\cos(45) = \frac{y}{10 \sqrt{2} }$

$\cos(45) \times 10 \sqrt{2} = y$

$10 = y$

$y = 10$