Answer:
[tex] c = 15.5 [/tex]
Step-by-step explanation:
Using the Law of Cosines, c² = a² + b² - 2ab*cos(C), let's find c.
Where,
a = 15 ft
b = 20 ft
C = 50°
Thus:
[tex] c^2 = 15^2 + 20^2 - 2*15*20*cos(50) [/tex]
[tex] c^2 = 625 - 600*0.6429 [/tex]
[tex] c^2 = 625 - 600*0.6429 [/tex]
[tex] c^2 = 625 - 385.74 [/tex]
[tex] c^2 = 239.26 [/tex]
[tex] c = \sqrt{239.26} [/tex]
[tex] c = 15.5 [/tex] (nearest tenth)
