Answer:
∠x = 13.43°
Step-by-step explanation:
area ΔABC = 1/2 ( BD x AC) = 1/2 (22 x AC) = 42
22 x AC = 84 AC = 84/22 = 42/11 = 3.82
CD = BD - BC = 22 - 6 = 16
AD² = AC² + CD² = (3.82)² + 16² = 270.59
AD = 16.45
sin ∠x = AC / AD = 3.82 / 16.45 = 0.2322
∠x = 13.43°
Answer:
x = 41.2 (to 3 s.f)
Step-by-step explanation:
CD = 22-6= 16
AC = 14
tan (x) = Opposite/ Adjacent
tan (x) = 14/16
tan^-1(14/16) = 41.18592517
x = 41.18592517
x = 41.2 (to 3 s.f)
