flemink2
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  • 24-07-2019
  • Mathematics
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What is the correct value of b ?

What is the correct value of b class=

Respuesta :

jimrgrant1 jimrgrant1
  • 24-07-2019

Answer:

b = 4

Step-by-step explanation:

Using the trigonometric identity

cos x = [tex]\frac{1}{secx}[/tex] = [tex]\frac{1}{\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex]

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3b}{20}[/tex]

Hence

[tex]\frac{3b}{20}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

15b = 60 ( divide both sides by 15 )

b = 4

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