Answer:
A. x = 16, y = 9√2
Step-by-step explanation:
✔️Let's find y first using trigonometric ratio:
Reference angle = 45°
Hypotenuse = y
Opposite = 9
Therefore,
Sin(45) = 9/y
y = 9/sin(45)
y = 9/(1/√2)
y = 9 × √2/1
y = 9√2
✔️To find x, let's find the adjacent side of the right triangle first, them add it to 7.
Adjacent side using Pythagorean Theorem would be,
Adj² = y² - 9²
Adj² = (9√2)² - 9²
Adj² = 162 - 81
Adj² = 81
Adj = √81
Adj = 9
x = adj + 7 = 9 + 7
x = 16
