Question

I need help! Please include an explanation.

Answer 1

B. 30o

Explanation:

for △BCD, Pythagorean theorem states c^2 = a^2 + b^2

(2√2)^2 = BD^2 + 2^2

8 = BD^2 + 4

BD = √4 = 2

for △BCD, AB = 4, BD = 2

sin(a) = opp/hypo = 2/4 = 1/2

a = 30o