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Find the number that belongs in the green box. round your answer to the nearest tenth.​

Find the number that belongs in the green box. round your answer to the nearest tenth-example-1

1 Answer

3 votes

Answer:

16.7°

Explanation:

We solve this using the Cosine rule formula

​From the question we have

Side a = 14

Side b = 15

Side c = ?

We are given Angle C = 70°

Hence,

c² = a² + b²− 2ab cos(C)

Hence,

c² = 14² + 15² - 2(14 × 15) × cos (70°)

c =√[ 14² + 15² - 420 × cos (120°)]

c = 16.65387 °

Approximately to the nearest tenth

c = 16.7°

User Alan De Smet
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