Respuesta :
Answer:
BD = 8.8
Step-by-step explanation:
You have a right triangle.
The hypotenuse is BD
The side opposite the 27o angle is 4
Sin(27) = opposite / hypotenuse.
Sin(27) = 0.45399
opposite = 4
hypotenuse = ?
0.45399 = 4/hypotenuse
BD = 4/0.45399
BD = 8.811
The answer is 8.8
Step-by-step explanation:
[tex] \sin \: 27 \degree = \frac{CD}{BD} \\ \\ \therefore \: 0.4539 = \frac{4}{BD} \\ \\ \therefore \: BD = \frac{4}{0.4539} \\ \\ \therefore \: BD = \frac{40000}{4539} \\ \\ \therefore \: BD =8.81251377 \\\\ \huge \orange {\boxed {\therefore \: BD \approx \: 8.8}} [/tex]