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4 years ago

The answer written in the box is not correct. HELP PLEASE IF YOU KNOW THIS TRIGONOMETRY/PYTHAGORAS QUESTION

Mathematics

1 answer:

den301095 [7]4 years ago

7 0

Answer:

18.55

Step-by-step explanation:

Step One

Find AC

Formula

a^2 + b^2 = c^2

Givens

a = 70
b = 50
c = AC

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.

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