Question

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

Answer 1

18.55

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.