Answer:
18.55
Step-by-step explanation:
Step One
Find AC
Formula
a^2 + b^2 = c^2
Givens
Solution
- AC^2 = 70^2 + 50^2 Substitute into Pythagoras
- AC^2 = 4900 + 2500 Expand
- AC^2 = 7400 combine
- AC = sqrt(7400) Take the square root of both sides.
- AC = 86.02
Step Two
Find FC
Givens
- <BCF = 30o Given
- BC = 50 Given
- FC = Find
Formula
Tan(30) = FC/50
Solution
FC = 50 * tan(30)
FC = 28.87
Step Three
Find <FAC
FC = 28.87
AC = 86.02
Tan(<FAC) = FC / AC
Tan(<FAC) = 28.87/86.02
Tan(<FAC) = 0.33558
<FAC = Tan-1(0.33558)
<FAC = 18.55 which is just about what you got.
