Answer:
4.28
Step-by-step explanation:
basically using the sine ratios :
a/sinA = b/sinB = c/sinC
so, let's call the known side a (3) and its opposing angle A (35 degrees).
and we know C is 90 degrees.
sin(90) = 1
b = the missing side AC.
and because the sum of all angles in a triangle is always 180 degrees, the missing angle B is
B = 180 - 90 - 35 = 55
AC/sin(55) = 3/sin(35)
AC = b = sin(55) × 3/sin(35) = 4.28
a little more practice and calculate also c that way :
3/sin(35) = c/1
c = 3/sin(35) = 5.23
