Answer:
Step-by-step explanation:
first use tan Ф = opp /adj to find x tan(30) = √3 / 3
then 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
