haliahkealoha1 haliahkealoha1

04-01-2021
Mathematics

contestada

Find C.
Round to the nearest tenth.
90 ft
55 ft
A
В
50 ft
C = [? ]°
YLaw of Cosines: c2 = a+ b2 - 2ab cos C

Find C Round to the nearest tenth 90 ft 55 ft A В 50 ft C YLaw of Cosines c2 a b2 2ab cos C class=

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sqdancefan sqdancefan

04-01-2021

9514 1404 393

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

C = arccos((a^2 +b^2 -c^2)/(2ab))

C = arccos((90^2 +55^2 -50^2)/(2·90·55))

C = arccos(8625/9900) ≈ 29.4002°

C ≈ 29.4°

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