Respuesta :

c ≈ 16.7 ( to 1 dec. place ) → d

since triangle ABC is right use the cosine ratio to find c

cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{c}[/tex]

multiply both sides by c

c × cos33° = 14 ( divide both sides by cos33° )

x = [tex]\frac{14}{cos33}[/tex] ≈ 16.7 ( to 1 dec. place )


alinakincsem

Answer:

The correct answer option is d. c = 16.7.

Step-by-step explanation:

We are given a right angles triangle with an angle ABC equal to 33 degrees and side length BC known to be equal to 14.

We are supposed to find the length of side c.

Side AB is the hypotenuse and BC is the base so we will use the formula of cos to find c.

[tex]cos 33 = \frac{14}{c}[/tex]

[tex]c=\frac{14}{cos 33}[/tex]

[tex]c=16.7[/tex]

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