The values of x and y are approximately x ≈ 15.35 mm and y ≈ 9.54 mm, respectively.
How to find value of x and y
In a right triangle, use trigonometric ratios to calculate the values of the sides.
Given that the hypotenuse is 18 mm and the angle facing the adjacent side is 32 degrees, use the cosine function to find the value of the adjacent side (x) and the sine function to find the value of the opposite side (y).
Using the cosine function:
cos(angle) = adjacent / hypotenuse
cos(32) = x / 18
Solving for x:
x = 18 * cos(32)
Using a calculator, we find that x ≈ 15.35 mm (rounded to two decimal places).
Using the sine function:
sin(angle) = opposite / hypotenuse
sin(32) = y / 18
Solving for y:
y = 18 * sin(32)
Again, using a calculator, we find that y ≈ 9.54 mm (rounded to two decimal places).
Therefore, the values of x and y are approximately x ≈ 15.35 mm and y ≈ 9.54 mm, respectively.