Answer:Step-by-step explanation:first use tan Ф = opp /adj to find x tan(30) = √3 / 3then use sin Ф = opp / hyp to find y sin(30) = 1/2 tan(30) = (√3) / 3 = x / 48 x = (48√3) / 3 x = 16√3 sin(30) = 1/2 = x / y y = x / (1/2) y = 2x x = 16√3 y = 2[16√3] y = 32√3 check using a² + b² = c² x² + 48² = y² (16√3)² + 48² = (32√3)² 256 · 3 + 2304 = 1024 · 3 768 + 2304 = 3072 3072 = 3072