Respuesta :

Answer:

AC = 2.87

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse  in a right triangle

B = 35°

h: hypotenuse = 5

o: opposite = AC

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

we look at which meets those data between the sine, cosine and tangent

is the sine

sin α = o/h

Now we replace the values ​​and solve

sin 35 = o/5

0.573576 = o / 5

0.573576 * 5 = o

2.86788 = o

round to the nearest hundredth

o = 2.86788 = 2.87

AC = 2.87