aidanesterak627
aidanesterak627 aidanesterak627
  • 12-03-2022
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 12-03-2022

Answer:

D

Step-by-step explanation:

using the sine ratio in the right triangle

sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{11.9}{c}[/tex] ( multiply both sides by c )

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

c = [tex]\frac{11.9}{sin20}[/tex] ≈ 34.8 ( to the nearest tenth )

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