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Thank you!

smileysmileysmiley

 Feb 16, 2019
 #1
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Use trig to solve for length of CF

We know that BC is 50 and FBC is 30°

CF/BC = tan30

CF/50 = tan30

CF/50 = 0.57735

CF = 28.8675

 

Use Pythagorean theorem to solve for length of AC

AC^2 = AB^2 + BC^2

AC^2 = 70^2 + 50^2 = 4900 + 2500 = 7400

AC = square root of 7400

AC = 86.0232

 

Use trig to solve for angle FAC

tan FAC = CF/AC

tan FAC = 28.8675/86.0232 = 0.33557

angle FAC = tan^-1 of 0.33557

angle FAC = 18.550°

 Feb 17, 2019

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