The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
Trigonometry
From the question, we are to determine the values of the missing sides
From the diagram,
Opposite = 9
Adjacent = y
Hypotenuse = x
Included angle = 45°
Using SOH CAH TOA, we can write that
[tex]tan 45^\circ= \frac{9}{y}[/tex]
[tex]1 = \frac{9}{y}[/tex]
∴ y = 9
Since the triangle is a right triangle, we can write that
x² = y² + 9² (Pythagorean theorem)
x² = 9² + 9²
x² = 81 + 81
x² = 162
x = √162
x = 12.7
Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9
Learn more on Trigonometry here: https://brainly.com/question/24259483
#SPJ1
