Angle C is a right angle. Find the side indicated to the nearest tenth. Find c if b=11.9, m∠B=20° A.) 45.2 B.) 43.1 C.) 42 D.) 34.8

Charmagne asked Apr 11, 2023

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Angle C is a right angle. Find the side indicated to the nearest tenth. Find c if b=11.9, m∠B=20°

A.) 45.2
B.) 43.1
C.) 42
D.) 34.8

Charmagne asked Apr 11, 2023

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14 votes

Answer:

Explanation:

using the sine ratio in the right triangle

sin20° =
(opposite)/(hypotenuse) =
(AC)/(AB) =
(11.9)/(c) ( multiply both sides by c )

c × sin20° = 11.9 ( divide both sides by sin20° )

c =
(11.9)/(sin20) ≈ 34.8 ( to the nearest tenth )

Vernou answered Apr 15, 2023

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