Based on the given information in the image, you have for x:
sin 30° = (16√3)/x solve for x
x = (16√3)/(sin 30°)
x = (16√3)/(1/2) = 32√3
To obtain the value of y, use the Pythagorean theorem:
x² = y² + (16√3)² solve for y and replace x
y² = x² - (16√3)²
y² = (32√3)² - (16√3)²
y² = 3072 - 768
y² = 2304
y = √2304
y = 48
Hence, you have:
x = 32√3
y = 48
