Respuesta :

Answer:

BC ≈ 4.17

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{5.7}[/tex] ( multiply both sides by 5.7 )

5.7 × cos43° = BC , then

BC ≈ 4.17 ( to 3 sf )
Use SOH CAH TOA
label sides hypotenuse, adjacent
cos43 = adjacent / hypotenuse

BC/AC = BC/5.7

x both sides by 5.7

5.7 x cos43 =BC

BC = 4.17(3sf)