Question

I'll give more points here is what I need.

Find the values of x and y in each right triangle. I added an attachment to see.

Answer 1

The answer to your question is x = 3; y = 3

Explanation:

Data

angle = 45°

Opposite side = x

Adjacent side = y

hypotenuse = 3√2

To solve this problem, use trigonometric functions.

1) To find x, use the trigonometric function sine.

sin Ф = Opposite side / hypotenuse

-Solve for Opposite side (x)

Opposite side = hypotenuse x sin Ф

-Substitution

Opposite side = 3√2 sin 45

-Simplification

Opposite side = 3√2 (1 / √2)

Opposite side = 3(1)

-Result

x = 3

2) To find y use the trigonometric function cosine

cos Ф = Adjacent side / hypotenuse

-Solve for Adjacent side

Adjacent side = hypotenuse x cos Ф

-Substitution

Adjacent side = 3√2 x cos 45

-Simplification

Adjacent side = 3√2 x (1/√2)

Adjacent side = 3(1)

-Result

y = 3