Question

Find the missing side lengths

Answer 1

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