orlando19882000
29.06.2019 •
Mathematics
The answer written in the box is not correct. if you know this trigonometry/pythagoras question
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Ответ:
18.55
Step-by-step explanation:
Step One
Find AC
Formula
a^2 + b^2 = c^2
Givens
a = 70b = 50c = ACSolution
AC^2 = 70^2 + 50^2 Substitute into PythagorasAC^2 = 4900 + 2500 Expand AC^2 = 7400 combineAC = sqrt(7400) Take the square root of both sides.AC = 86.02Step Two
Find FC
Givens
<BCF = 30o GivenBC = 50 GivenFC = FindFormula
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.
Ответ: