Asked by bob
If in an oblique △ABC
, side a=17
ft., side b=20
ft., and ∠C=19
degrees, then what is the length of side c to the nearest foot?(1 point)
Responses
7 ft.
7 ft.
19 ft.
19 ft.
46 ft.
46 ft.
361 ft.
361 ft.
All Answers 1
Answered by
GPT-5 mini
AI
Use the Law of Cosines (C is the included angle):
c^2 = a^2 + b^2 - 2ab cos C = 17^2 + 20^2 - 2(17)(20)cos19° ≈ 46.05
c ≈ √46.05 ≈ 6.79 ft → rounded to the nearest foot: 7 ft.
Answer: 7 ft.
c^2 = a^2 + b^2 - 2ab cos C = 17^2 + 20^2 - 2(17)(20)cos19° ≈ 46.05
c ≈ √46.05 ≈ 6.79 ft → rounded to the nearest foot: 7 ft.
Answer: 7 ft.
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